LCM for 24 and 31

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What's the Least Common Multiple (LCM) of 24 and 31?

Answer

LCM of 24 and 31 is
744

First common multiples: 744; 1,488; 2,232; …

744 is divisible by both: 744 ÷ 24 = 31, 744 ÷ 31 = 24 — and 31 and 24 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/24 by 31 and of y/31 by 24.

24 and 31 are coprime (GCF = 1), so their LCM is simply the product: 24 × 31 = 744.

24 = 23 × 3

31 — prime

Prime2431Highest power
223—23
33—3
31—3131

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 23 × 3 × 31 = 744

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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 31?

LCM of 24 and 31 is 744

How to find the LCM of 24 and 31 using prime factorization?

To find the LCM of 24 and 31, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 744.

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 31: LCM = 744, GCF = 1.

See Also