LCM for 3 and 10

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What's the Least Common Multiple (LCM) of 3 and 10?

Answer

LCM of 3 and 10 is
30

First common multiples: 30, 60, 90, …

30 is divisible by both: 30 ÷ 3 = 10, 30 ÷ 10 = 3 — and 10 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/3 by 10 and of y/10 by 3.

3 and 10 are coprime (GCF = 1), so their LCM is simply the product: 3 × 10 = 30.

3 — prime

10 = 2 × 5

Prime310Highest power
2—22
33—3
5—55

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

LCM = 2 × 3 × 5 = 30

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See Also

LCM Table

Number 1Number 2LCM
313
326
333
3412
3515
366
3721
3824
399
31030
31133
31212
31339
31442
31515
31648
31751
31818
31957
32060
32121
32266
32369
32575
32884
33030
33333
335105
33636
337111

FAQ

What's the Least Common Multiple (LCM) of 3 and 10?

LCM of 3 and 10 is 30

How to find the LCM of 3 and 10 using prime factorization?

To find the LCM of 3 and 10, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 30.

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 3 and 10: LCM = 30, GCF = 1.

See Also