LCM for 24 and 36

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What's the Least Common Multiple (LCM) of 24 and 36?

Answer

LCM of 24 and 36 is
72

First common multiples: 72, 144, 216, …

72 is divisible by both: 72 ÷ 24 = 3, 72 ÷ 36 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/24 by 3 and of y/36 by 2.

24 = 23 × 3

36 = 22 × 32

Prime2436Highest power
2232223
333232

LCM = 23 × 32 = 72

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LCM Table

Number 1Number 2LCM
24972
241648
241872
2425600
2427216
2428168
2430120
2431744
243296
2435840
243672
2440120
2441984
2442168
2444264
2445360
2446552
244848
24491,176
2451408
24531,272
2454216
24551,320
2456168
2457456
2460120
2464192
247272
2480240
2484168

FAQ

What's the Least Common Multiple (LCM) of 24 and 36?

LCM of 24 and 36 is 72

How to find the LCM of 24 and 36 using prime factorization?

To find the LCM of 24 and 36, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 72.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 24 and 36: LCM = 72, GCF = 12.

See Also