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What is the Least Common Multiple of 60707 and 60713?

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 60707 and 60713 is 3685704091.

LCM(60707,60713) = 3685704091

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Least Common Multiple of 60707 and 60713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60707 and 60713, than apply into the LCM equation.

GCF(60707,60713) = 1
LCM(60707,60713) = ( 60707 × 60713) / 1
LCM(60707,60713) = 3685704091 / 1
LCM(60707,60713) = 3685704091

Least Common Multiple (LCM) of 60707 and 60713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60707 and 60713. First we will calculate the prime factors of 60707 and 60713.

Prime Factorization of 60707

Prime factors of 60707 are 17, 3571. Prime factorization of 60707 in exponential form is:

60707 = 171 × 35711

Prime Factorization of 60713

Prime factors of 60713 are 109, 557. Prime factorization of 60713 in exponential form is:

60713 = 1091 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 60707 and 60713.

LCM(60707,60713) = 171 × 35711 × 1091 × 5571
LCM(60707,60713) = 3685704091