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What is the Least Common Multiple of 73862 and 73879?

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 73862 and 73879 is 5456850698.

LCM(73862,73879) = 5456850698

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Least Common Multiple of 73862 and 73879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73862 and 73879, than apply into the LCM equation.

GCF(73862,73879) = 1
LCM(73862,73879) = ( 73862 × 73879) / 1
LCM(73862,73879) = 5456850698 / 1
LCM(73862,73879) = 5456850698

Least Common Multiple (LCM) of 73862 and 73879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73862 and 73879. First we will calculate the prime factors of 73862 and 73879.

Prime Factorization of 73862

Prime factors of 73862 are 2, 36931. Prime factorization of 73862 in exponential form is:

73862 = 21 × 369311

Prime Factorization of 73879

Prime factors of 73879 are 13, 5683. Prime factorization of 73879 in exponential form is:

73879 = 131 × 56831

Now multiplying the highest exponent prime factors to calculate the LCM of 73862 and 73879.

LCM(73862,73879) = 21 × 369311 × 131 × 56831
LCM(73862,73879) = 5456850698