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What is the Least Common Multiple of 60862 and 60875?

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 60862 and 60875 is 3704974250.

LCM(60862,60875) = 3704974250

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Least Common Multiple of 60862 and 60875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60862 and 60875, than apply into the LCM equation.

GCF(60862,60875) = 1
LCM(60862,60875) = ( 60862 × 60875) / 1
LCM(60862,60875) = 3704974250 / 1
LCM(60862,60875) = 3704974250

Least Common Multiple (LCM) of 60862 and 60875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60862 and 60875. First we will calculate the prime factors of 60862 and 60875.

Prime Factorization of 60862

Prime factors of 60862 are 2, 30431. Prime factorization of 60862 in exponential form is:

60862 = 21 × 304311

Prime Factorization of 60875

Prime factors of 60875 are 5, 487. Prime factorization of 60875 in exponential form is:

60875 = 53 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 60862 and 60875.

LCM(60862,60875) = 21 × 304311 × 53 × 4871
LCM(60862,60875) = 3704974250