LCM for 24 and 51

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What's the Least Common Multiple (LCM) of 24 and 51?

Answer

LCM of 24 and 51 is
408

First common multiples: 408; 816; 1,224; …

408 is divisible by both: 408 ÷ 24 = 17, 408 ÷ 51 = 8 — and 17 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/24 by 17 and of y/51 by 8.

24 = 23 × 3

51 = 3 × 17

Prime2451Highest power
223—23
3333
17—1717

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

LCM = 23 × 3 × 17 = 408

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LCM Table

Number 1Number 2LCM
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
2488264
2490360
249696
24100600

FAQ

What's the Least Common Multiple (LCM) of 24 and 51?

LCM of 24 and 51 is 408

How to find the LCM of 24 and 51 using prime factorization?

To find the LCM of 24 and 51, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 408.

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 51: LCM = 408, GCF = 3.

See Also