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What is the Least Common Multiple of 6659 and 6674?

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 6659 and 6674 is 44442166.

LCM(6659,6674) = 44442166

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Least Common Multiple of 6659 and 6674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6659 and 6674, than apply into the LCM equation.

GCF(6659,6674) = 1
LCM(6659,6674) = ( 6659 × 6674) / 1
LCM(6659,6674) = 44442166 / 1
LCM(6659,6674) = 44442166

Least Common Multiple (LCM) of 6659 and 6674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6659 and 6674. First we will calculate the prime factors of 6659 and 6674.

Prime Factorization of 6659

Prime factors of 6659 are 6659. Prime factorization of 6659 in exponential form is:

6659 = 66591

Prime Factorization of 6674

Prime factors of 6674 are 2, 47, 71. Prime factorization of 6674 in exponential form is:

6674 = 21 × 471 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 6659 and 6674.

LCM(6659,6674) = 66591 × 21 × 471 × 711
LCM(6659,6674) = 44442166