LCM for 30 and 60

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What's the Least Common Multiple (LCM) of 30 and 60?

Answer

LCM of 30 and 60 is
60

First common multiples: 60, 120, 180, …

As a common denominator: multiply the top and bottom of x/30 by 2.

30 divides 60 (60 ÷ 30 = 2), so the LCM is the larger number itself.

30 = 2 × 3 × 5

60 = 22 × 3 × 5

Prime3060Highest power
222222
3333
5555

LCM = 22 × 3 × 5 = 60

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LCM Table

Number 1Number 2LCM
3034510
3035210
3036180
30371,110
3038570
3040120
3042210
30431,290
304590
3046690
3050150
3055330
3056840
3057570
3058870
306060
3070210
3075150
3080240
3096480
30100300
30105210
30110330
30120120
30145870
30155930
30165330
30170510
30180180
301851,110

FAQ

What's the Least Common Multiple (LCM) of 30 and 60?

LCM of 30 and 60 is 60

How to find the LCM of 30 and 60 using prime factorization?

To find the LCM of 30 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 60.

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 60: LCM = 60, GCF = 30.

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