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What is the Least Common Multiple of 60862 and 60876?

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 60876 is 1852517556.

LCM(60862,60876) = 1852517556

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Least Common Multiple of 60862 and 60876 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 60876, than apply into the LCM equation.

GCF(60862,60876) = 2
LCM(60862,60876) = ( 60862 × 60876) / 2
LCM(60862,60876) = 3705035112 / 2
LCM(60862,60876) = 1852517556

Least Common Multiple (LCM) of 60862 and 60876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60862 and 60876. First we will calculate the prime factors of 60862 and 60876.

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 60876

Prime factors of 60876 are 2, 3, 19, 89. Prime factorization of 60876 in exponential form is:

60876 = 22 × 32 × 191 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 60862 and 60876.

LCM(60862,60876) = 22 × 304311 × 32 × 191 × 891
LCM(60862,60876) = 1852517556