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What is the Least Common Multiple of 1671 and 1686?

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 1671 and 1686 is 939102.

LCM(1671,1686) = 939102

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Least Common Multiple of 1671 and 1686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1671 and 1686, than apply into the LCM equation.

GCF(1671,1686) = 3
LCM(1671,1686) = ( 1671 × 1686) / 3
LCM(1671,1686) = 2817306 / 3
LCM(1671,1686) = 939102

Least Common Multiple (LCM) of 1671 and 1686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1671 and 1686. First we will calculate the prime factors of 1671 and 1686.

Prime Factorization of 1671

Prime factors of 1671 are 3, 557. Prime factorization of 1671 in exponential form is:

1671 = 31 × 5571

Prime Factorization of 1686

Prime factors of 1686 are 2, 3, 281. Prime factorization of 1686 in exponential form is:

1686 = 21 × 31 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 1671 and 1686.

LCM(1671,1686) = 31 × 5571 × 21 × 2811
LCM(1671,1686) = 939102