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What is the Least Common Multiple of 906 and 921?

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 906 and 921 is 278142.

LCM(906,921) = 278142

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Least Common Multiple of 906 and 921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 906 and 921, than apply into the LCM equation.

GCF(906,921) = 3
LCM(906,921) = ( 906 × 921) / 3
LCM(906,921) = 834426 / 3
LCM(906,921) = 278142

Least Common Multiple (LCM) of 906 and 921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 906 and 921. First we will calculate the prime factors of 906 and 921.

Prime Factorization of 906

Prime factors of 906 are 2, 3, 151. Prime factorization of 906 in exponential form is:

906 = 21 × 31 × 1511

Prime Factorization of 921

Prime factors of 921 are 3, 307. Prime factorization of 921 in exponential form is:

921 = 31 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 906 and 921.

LCM(906,921) = 21 × 31 × 1511 × 3071
LCM(906,921) = 278142