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What is the Least Common Multiple of 6668 and 6687?

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 6668 and 6687 is 44588916.

LCM(6668,6687) = 44588916

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Least Common Multiple of 6668 and 6687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6668 and 6687, than apply into the LCM equation.

GCF(6668,6687) = 1
LCM(6668,6687) = ( 6668 × 6687) / 1
LCM(6668,6687) = 44588916 / 1
LCM(6668,6687) = 44588916

Least Common Multiple (LCM) of 6668 and 6687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6668 and 6687. First we will calculate the prime factors of 6668 and 6687.

Prime Factorization of 6668

Prime factors of 6668 are 2, 1667. Prime factorization of 6668 in exponential form is:

6668 = 22 × 16671

Prime Factorization of 6687

Prime factors of 6687 are 3, 743. Prime factorization of 6687 in exponential form is:

6687 = 32 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 6668 and 6687.

LCM(6668,6687) = 22 × 16671 × 32 × 7431
LCM(6668,6687) = 44588916