LCM for 5 and 24

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What's the Least Common Multiple (LCM) of 5 and 24?

Answer

LCM of 5 and 24 is
120

First common multiples: 120, 240, 360, …

120 is divisible by both: 120 ÷ 5 = 24, 120 ÷ 24 = 5 — and 24 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/5 by 24 and of y/24 by 5.

5 and 24 are coprime (GCF = 1), so their LCM is simply the product: 5 × 24 = 120.

5 — prime

24 = 23 × 3

Prime524Highest power
2—2323
3—33
55—5

— = 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
5840
5945
51010
51155
51260
51365
51470
51515
51680
51785
51890
51995
52020
521105
522110
524120
52525
526130
527135
53030
531155
532160
53535
539195
54040
542210
543215
544220
54545
546230

FAQ

What's the Least Common Multiple (LCM) of 5 and 24?

LCM of 5 and 24 is 120

How to find the LCM of 5 and 24 using prime factorization?

To find the LCM of 5 and 24, 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 5 and 24: LCM = 120, GCF = 1.

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