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What is the Least Common Multiple of 79619 and 79623?

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 79619 and 79623 is 6339503637.

LCM(79619,79623) = 6339503637

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Least Common Multiple of 79619 and 79623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79619 and 79623, than apply into the LCM equation.

GCF(79619,79623) = 1
LCM(79619,79623) = ( 79619 × 79623) / 1
LCM(79619,79623) = 6339503637 / 1
LCM(79619,79623) = 6339503637

Least Common Multiple (LCM) of 79619 and 79623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79619 and 79623. First we will calculate the prime factors of 79619 and 79623.

Prime Factorization of 79619

Prime factors of 79619 are 103, 773. Prime factorization of 79619 in exponential form is:

79619 = 1031 × 7731

Prime Factorization of 79623

Prime factors of 79623 are 3, 983. Prime factorization of 79623 in exponential form is:

79623 = 34 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 79619 and 79623.

LCM(79619,79623) = 1031 × 7731 × 34 × 9831
LCM(79619,79623) = 6339503637