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What is the Least Common Multiple of 79543 and 79550?

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 79543 and 79550 is 6327645650.

LCM(79543,79550) = 6327645650

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Least Common Multiple of 79543 and 79550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79543 and 79550, than apply into the LCM equation.

GCF(79543,79550) = 1
LCM(79543,79550) = ( 79543 × 79550) / 1
LCM(79543,79550) = 6327645650 / 1
LCM(79543,79550) = 6327645650

Least Common Multiple (LCM) of 79543 and 79550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79543 and 79550. First we will calculate the prime factors of 79543 and 79550.

Prime Factorization of 79543

Prime factors of 79543 are 17, 4679. Prime factorization of 79543 in exponential form is:

79543 = 171 × 46791

Prime Factorization of 79550

Prime factors of 79550 are 2, 5, 37, 43. Prime factorization of 79550 in exponential form is:

79550 = 21 × 52 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 79543 and 79550.

LCM(79543,79550) = 171 × 46791 × 21 × 52 × 371 × 431
LCM(79543,79550) = 6327645650