LCM for 11 and 14

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 11 and 14?

Answer

LCM of 11 and 14 is
154

First common multiples: 154, 308, 462, …

154 is divisible by both: 154 ÷ 11 = 14, 154 ÷ 14 = 11 — and 14 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 14 and of y/14 by 11.

11 and 14 are coprime (GCF = 1), so their LCM is simply the product: 11 × 14 = 154.

11 — prime

14 = 2 × 7

Prime1114Highest power
2—22
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 = 2 × 7 × 11 = 154

See Also

FAQ

What's the Least Common Multiple (LCM) of 11 and 14?

LCM of 11 and 14 is 154

How to find the LCM of 11 and 14 using prime factorization?

To find the LCM of 11 and 14, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 154.

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 14: LCM = 154, GCF = 1.