LCM for 30 and 120

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What's the Least Common Multiple (LCM) of 30 and 120?

Answer

LCM of 30 and 120 is
120

First common multiples: 120, 240, 360, …

As a common denominator: multiply the top and bottom of x/30 by 4.

30 divides 120 (120 ÷ 30 = 4), so the LCM is the larger number itself.

30 = 2 × 3 × 5

120 = 23 × 3 × 5

Prime30120Highest power
222323
3333
5555

LCM = 23 × 3 × 5 = 120

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LCM Table

Number 1Number 2LCM
304590
3046690
3050150
3055330
3056840
3057570
3058870
306060
3070210
3075150
3080240
3096480
30100300
30105210
30110330
30120120
30145870
30155930
30165330
30170510
30180180
301851,110
30195390
302151,290
302351,410
302383,570
30240240
302451,470
30255510
30270270

FAQ

What's the Least Common Multiple (LCM) of 30 and 120?

LCM of 30 and 120 is 120

How to find the LCM of 30 and 120 using prime factorization?

To find the LCM of 30 and 120, 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 30 and 120: LCM = 120, GCF = 30.

See Also