How to find the Least Common Multiple of 24 and 35?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 24 and 35.
Follow the steps below, and let's calculate the LCM of 24 and 35.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 24 and 35:
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 35
The prime factors of 35 are 5 and 7. Prime factorization of 35 in exponential form is:
35 = 51x71
Step 2: Identify the highest power of each prime number from the above boxes:
23, 31, 51, 71
Step 3: Multiply these values together:
23x31x51x71=840
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 24 and 35.
The Least Common Multiple of 24 and 35 is 840.
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
Multiples of 35:
35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490, 525, 560, 595, 630, 665, 700, 735, 770, 805, 840, 875, 910, 945
Therefore,
LCM(24, 35) = 840