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What is the Least Common Multiple of 60747 and 60761?

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 60747 and 60761 is 3691048467.

LCM(60747,60761) = 3691048467

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Least Common Multiple of 60747 and 60761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60747 and 60761, than apply into the LCM equation.

GCF(60747,60761) = 1
LCM(60747,60761) = ( 60747 × 60761) / 1
LCM(60747,60761) = 3691048467 / 1
LCM(60747,60761) = 3691048467

Least Common Multiple (LCM) of 60747 and 60761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60747 and 60761. First we will calculate the prime factors of 60747 and 60761.

Prime Factorization of 60747

Prime factors of 60747 are 3, 20249. Prime factorization of 60747 in exponential form is:

60747 = 31 × 202491

Prime Factorization of 60761

Prime factors of 60761 are 60761. Prime factorization of 60761 in exponential form is:

60761 = 607611

Now multiplying the highest exponent prime factors to calculate the LCM of 60747 and 60761.

LCM(60747,60761) = 31 × 202491 × 607611
LCM(60747,60761) = 3691048467