How to find the Least Common Multiple of 24 and 37?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 24 and 37.
Follow the steps below, and let's calculate the LCM of 24 and 37.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 24 and 37:
Prime factors of 24
The prime factors of 24 are 2, 2, 2 and 3. Prime factorization of 24 in exponential form is:
24 = 23x31
Prime factors of 37
The prime factors of 37 are 37. Prime factorization of 37 in exponential form is:
37 = 371
Step 2: Identify the highest power of each prime number from the above boxes:
23, 31, 371
Step 3: Multiply these values together:
23x31x371=888
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 24 and 37.
The Least Common Multiple of 24 and 37 is 888.
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 24:
24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768, 792, 816, 840, 864, 888, 912, 936, 960
Multiples of 37:
37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703, 740, 777, 814, 851, 888, 925, 962, 999
Therefore,
LCM(24, 37) = 888