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Least Common Multiple of 14 and 22

Least common multiple (LCM) of 14 and 22 is 154.

LCM(14,22) = 154

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

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Least Common Multiple of 14 and 22 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14 and 22, than apply into the LCM equation.

GCF(14,22) = 2
LCM(14,22) = ( 14 × 22) / 2
LCM(14,22) = 308 / 2
LCM(14,22) = 154

Least Common Multiple (LCM) of 14 and 22 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14 and 22. First we will calculate the prime factors of 14 and 22.

Prime Factorization of 14

Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:

14 = 21 × 71

Prime Factorization of 22

Prime factors of 22 are 2, 11. Prime factorization of 22 in exponential form is:

22 = 21 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 14 and 22.

LCM(14,22) = 21 × 71 × 111
LCM(14,22) = 154

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