LCM for 11 and 35

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What's the Least Common Multiple (LCM) of 11 and 35?

Answer

LCM of 11 and 35 is
385

First common multiples: 385; 770; 1,155; …

385 is divisible by both: 385 ÷ 11 = 35, 385 ÷ 35 = 11 — and 35 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/11 by 35 and of y/35 by 11.

11 and 35 are coprime (GCF = 1), so their LCM is simply the product: 11 × 35 = 385.

11 — prime

35 = 5 × 7

Prime1135Highest power
5—55
7—77
1111—11

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

LCM = 5 × 7 × 11 = 385

See Also

FAQ

What's the Least Common Multiple (LCM) of 11 and 35?

LCM of 11 and 35 is 385

How to find the LCM of 11 and 35 using prime factorization?

To find the LCM of 11 and 35, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 385.

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 11 and 35: LCM = 385, GCF = 1.