LCM for 24 and 60

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What's the Least Common Multiple (LCM) of 24 and 60?

Answer

LCM of 24 and 60 is
120

First common multiples: 120, 240, 360, …

120 is divisible by both: 120 ÷ 24 = 5, 120 ÷ 60 = 2 — and 5 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 5 and of y/60 by 2.

24 = 23 × 3

60 = 22 × 3 × 5

Prime2460Highest power
2232223
3333
5—55

— = 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 = 120

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LCM Table

Number 1Number 2LCM
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
241,0003,000

FAQ

What's the Least Common Multiple (LCM) of 24 and 60?

LCM of 24 and 60 is 120

How to find the LCM of 24 and 60 using prime factorization?

To find the LCM of 24 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 120.

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 60: LCM = 120, GCF = 12.

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