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What is the Least Common Multiple of 79621 and 79625?

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 79621 and 79625 is 6339822125.

LCM(79621,79625) = 6339822125

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Least Common Multiple of 79621 and 79625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79621 and 79625, than apply into the LCM equation.

GCF(79621,79625) = 1
LCM(79621,79625) = ( 79621 × 79625) / 1
LCM(79621,79625) = 6339822125 / 1
LCM(79621,79625) = 6339822125

Least Common Multiple (LCM) of 79621 and 79625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79621 and 79625. First we will calculate the prime factors of 79621 and 79625.

Prime Factorization of 79621

Prime factors of 79621 are 79621. Prime factorization of 79621 in exponential form is:

79621 = 796211

Prime Factorization of 79625

Prime factors of 79625 are 5, 7, 13. Prime factorization of 79625 in exponential form is:

79625 = 53 × 72 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 79621 and 79625.

LCM(79621,79625) = 796211 × 53 × 72 × 131
LCM(79621,79625) = 6339822125