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What is the Least Common Multiple of 60657 and 60670?

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 60657 and 60670 is 3680060190.

LCM(60657,60670) = 3680060190

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Least Common Multiple of 60657 and 60670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60657 and 60670, than apply into the LCM equation.

GCF(60657,60670) = 1
LCM(60657,60670) = ( 60657 × 60670) / 1
LCM(60657,60670) = 3680060190 / 1
LCM(60657,60670) = 3680060190

Least Common Multiple (LCM) of 60657 and 60670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60657 and 60670. First we will calculate the prime factors of 60657 and 60670.

Prime Factorization of 60657

Prime factors of 60657 are 3, 20219. Prime factorization of 60657 in exponential form is:

60657 = 31 × 202191

Prime Factorization of 60670

Prime factors of 60670 are 2, 5, 6067. Prime factorization of 60670 in exponential form is:

60670 = 21 × 51 × 60671

Now multiplying the highest exponent prime factors to calculate the LCM of 60657 and 60670.

LCM(60657,60670) = 31 × 202191 × 21 × 51 × 60671
LCM(60657,60670) = 3680060190