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What is the Least Common Multiple of 1416 and 1422?

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.

Least common multiple (LCM) of 1416 and 1422 is 335592.

LCM(1416,1422) = 335592

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Least Common Multiple of 1416 and 1422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1416 and 1422, than apply into the LCM equation.

GCF(1416,1422) = 6
LCM(1416,1422) = ( 1416 × 1422) / 6
LCM(1416,1422) = 2013552 / 6
LCM(1416,1422) = 335592

Least Common Multiple (LCM) of 1416 and 1422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1416 and 1422. First we will calculate the prime factors of 1416 and 1422.

Prime Factorization of 1416

Prime factors of 1416 are 2, 3, 59. Prime factorization of 1416 in exponential form is:

1416 = 23 × 31 × 591

Prime Factorization of 1422

Prime factors of 1422 are 2, 3, 79. Prime factorization of 1422 in exponential form is:

1422 = 21 × 32 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 1416 and 1422.

LCM(1416,1422) = 23 × 32 × 591 × 791
LCM(1416,1422) = 335592