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What is the Least Common Multiple of 60687 and 60703?

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 60687 and 60703 is 3683882961.

LCM(60687,60703) = 3683882961

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Least Common Multiple of 60687 and 60703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60687 and 60703, than apply into the LCM equation.

GCF(60687,60703) = 1
LCM(60687,60703) = ( 60687 × 60703) / 1
LCM(60687,60703) = 3683882961 / 1
LCM(60687,60703) = 3683882961

Least Common Multiple (LCM) of 60687 and 60703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60687 and 60703. First we will calculate the prime factors of 60687 and 60703.

Prime Factorization of 60687

Prime factors of 60687 are 3, 11, 613. Prime factorization of 60687 in exponential form is:

60687 = 32 × 111 × 6131

Prime Factorization of 60703

Prime factors of 60703 are 60703. Prime factorization of 60703 in exponential form is:

60703 = 607031

Now multiplying the highest exponent prime factors to calculate the LCM of 60687 and 60703.

LCM(60687,60703) = 32 × 111 × 6131 × 607031
LCM(60687,60703) = 3683882961