## How to find the Least Common Multiple of 4 and 9?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 4 and 9.

Follow the steps below, and let's calculate the LCM of 4 and 9.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 4 and 9:

##### Prime factors of 4

The prime factors of 4 are 2 and 2. Prime factorization of 4 in exponential form is:

4 = 22

##### Prime factors of 9

The prime factors of 9 are 3 and 3. Prime factorization of 9 in exponential form is:

9 = 32

22, 32

22x32=36

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 4 and 9.

The Least Common Multiple of 4 and 9 is 36.

### Method 2 - List of Multiples

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

#### Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

#### Multiples of 9:

9, 18, 27, 36, 45, 54, 63

LCM(4, 9) = 36
{"ft_lang_label":"__label__en","ft_lang_prob":0.89104164,"math_prob":0.9828972,"size":1105,"snap":"2021-21-2021-25","text_gpt3_token_len":355,"char_repetition_ratio":0.18074478,"word_repetition_ratio":0.045045044,"special_character_ratio":0.3321267,"punctuation_ratio":0.16791044,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9990958,"pos_list":[0,1,2],"im_url_duplicate_count":[null,3,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-06-23T12:13:46Z\",\"WARC-Record-ID\":\"<urn:uuid:43e5a114-9aad-4a85-8642-82f0313a7dca>\",\"Content-Length\":\"25605\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:fd423dfe-9a31-40f7-856a-e4cb96df4548>\",\"WARC-Concurrent-To\":\"<urn:uuid:c5fce198-7b14-4b93-8ccf-9ccf1c2bdf09>\",\"WARC-IP-Address\":\"104.21.30.54\",\"WARC-Target-URI\":\"https://www.gcf-lcm.com/lcm-of-4-9/\",\"WARC-Payload-Digest\":\"sha1:3OC6XWAS2MVXCDN5BPQW3M2W7E4EVVFK\",\"WARC-Block-Digest\":\"sha1:ZOQ2E724WGY7Q6V3TBXSH5MVFKHBMQPQ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-25/CC-MAIN-2021-25_segments_1623488538041.86_warc_CC-MAIN-20210623103524-20210623133524-00382.warc.gz\"}"}