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What is the Least Common Multiple of 79558 and 79563?

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 79558 and 79563 is 6329873154.

LCM(79558,79563) = 6329873154

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Least Common Multiple of 79558 and 79563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79558 and 79563, than apply into the LCM equation.

GCF(79558,79563) = 1
LCM(79558,79563) = ( 79558 × 79563) / 1
LCM(79558,79563) = 6329873154 / 1
LCM(79558,79563) = 6329873154

Least Common Multiple (LCM) of 79558 and 79563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79558 and 79563. First we will calculate the prime factors of 79558 and 79563.

Prime Factorization of 79558

Prime factors of 79558 are 2, 39779. Prime factorization of 79558 in exponential form is:

79558 = 21 × 397791

Prime Factorization of 79563

Prime factors of 79563 are 3, 11, 2411. Prime factorization of 79563 in exponential form is:

79563 = 31 × 111 × 24111

Now multiplying the highest exponent prime factors to calculate the LCM of 79558 and 79563.

LCM(79558,79563) = 21 × 397791 × 31 × 111 × 24111
LCM(79558,79563) = 6329873154