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What is the Least Common Multiple of 60647 and 60666?

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 60647 and 60666 is 3679210902.

LCM(60647,60666) = 3679210902

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Least Common Multiple of 60647 and 60666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60647 and 60666, than apply into the LCM equation.

GCF(60647,60666) = 1
LCM(60647,60666) = ( 60647 × 60666) / 1
LCM(60647,60666) = 3679210902 / 1
LCM(60647,60666) = 3679210902

Least Common Multiple (LCM) of 60647 and 60666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60647 and 60666. First we will calculate the prime factors of 60647 and 60666.

Prime Factorization of 60647

Prime factors of 60647 are 60647. Prime factorization of 60647 in exponential form is:

60647 = 606471

Prime Factorization of 60666

Prime factors of 60666 are 2, 3, 10111. Prime factorization of 60666 in exponential form is:

60666 = 21 × 31 × 101111

Now multiplying the highest exponent prime factors to calculate the LCM of 60647 and 60666.

LCM(60647,60666) = 606471 × 21 × 31 × 101111
LCM(60647,60666) = 3679210902