LCM for 24 and 55

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What's the Least Common Multiple (LCM) of 24 and 55?

Answer

LCM of 24 and 55 is
1,320

First common multiples: 1,320; 2,640; 3,960; …

1,320 is divisible by both: 1,320 ÷ 24 = 55; 1,320 ÷ 55 = 24 — and 55 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 55 and of y/55 by 24.

24 and 55 are coprime (GCF = 1), so their LCM is simply the product: 24 × 55 = 1,320.

24 = 23 × 3

55 = 5 × 11

Prime2455Highest power
223—23
33—3
5—55
11—1111

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

LCM = 23 × 3 × 5 × 11 = 1,320

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LCM Table

Number 1Number 2LCM
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
24104312
24120120
24210840

FAQ

What's the Least Common Multiple (LCM) of 24 and 55?

LCM of 24 and 55 is 1,320

How to find the LCM of 24 and 55 using prime factorization?

To find the LCM of 24 and 55, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,320.

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 55: LCM = 1,320, GCF = 1.

See Also