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What is the Least Common Multiple of 654 and 671?

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 654 and 671 is 438834.

LCM(654,671) = 438834

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Least Common Multiple of 654 and 671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 654 and 671, than apply into the LCM equation.

GCF(654,671) = 1
LCM(654,671) = ( 654 × 671) / 1
LCM(654,671) = 438834 / 1
LCM(654,671) = 438834

Least Common Multiple (LCM) of 654 and 671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 654 and 671. First we will calculate the prime factors of 654 and 671.

Prime Factorization of 654

Prime factors of 654 are 2, 3, 109. Prime factorization of 654 in exponential form is:

654 = 21 × 31 × 1091

Prime Factorization of 671

Prime factors of 671 are 11, 61. Prime factorization of 671 in exponential form is:

671 = 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 654 and 671.

LCM(654,671) = 21 × 31 × 1091 × 111 × 611
LCM(654,671) = 438834