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What is the Least Common Multiple of 39668 and 39687?

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 39668 and 39687 is 1574303916.

LCM(39668,39687) = 1574303916

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Least Common Multiple of 39668 and 39687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39668 and 39687, than apply into the LCM equation.

GCF(39668,39687) = 1
LCM(39668,39687) = ( 39668 × 39687) / 1
LCM(39668,39687) = 1574303916 / 1
LCM(39668,39687) = 1574303916

Least Common Multiple (LCM) of 39668 and 39687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39668 and 39687. First we will calculate the prime factors of 39668 and 39687.

Prime Factorization of 39668

Prime factors of 39668 are 2, 47, 211. Prime factorization of 39668 in exponential form is:

39668 = 22 × 471 × 2111

Prime Factorization of 39687

Prime factors of 39687 are 3, 13229. Prime factorization of 39687 in exponential form is:

39687 = 31 × 132291

Now multiplying the highest exponent prime factors to calculate the LCM of 39668 and 39687.

LCM(39668,39687) = 22 × 471 × 2111 × 31 × 132291
LCM(39668,39687) = 1574303916