LCM for 3 and 35

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What's the Least Common Multiple (LCM) of 3 and 35?

Answer

LCM of 3 and 35 is
105

First common multiples: 105, 210, 315, …

105 is divisible by both: 105 ÷ 3 = 35, 105 ÷ 35 = 3 — and 35 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 35 and of y/35 by 3.

3 and 35 are coprime (GCF = 1), so their LCM is simply the product: 3 × 35 = 105.

3 — prime

35 = 5 × 7

Prime335Highest power
33—3
5—55
7—77

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

LCM = 3 × 5 × 7 = 105

See Also

FAQ

What's the Least Common Multiple (LCM) of 3 and 35?

LCM of 3 and 35 is 105

How to find the LCM of 3 and 35 using prime factorization?

To find the LCM of 3 and 35, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 105.

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 35: LCM = 105, GCF = 1.