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What is the Least Common Multiple of 79571 and 79575?

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 79571 and 79575 is 6331862325.

LCM(79571,79575) = 6331862325

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Least Common Multiple of 79571 and 79575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79571 and 79575, than apply into the LCM equation.

GCF(79571,79575) = 1
LCM(79571,79575) = ( 79571 × 79575) / 1
LCM(79571,79575) = 6331862325 / 1
LCM(79571,79575) = 6331862325

Least Common Multiple (LCM) of 79571 and 79575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79571 and 79575. First we will calculate the prime factors of 79571 and 79575.

Prime Factorization of 79571

Prime factors of 79571 are 47, 1693. Prime factorization of 79571 in exponential form is:

79571 = 471 × 16931

Prime Factorization of 79575

Prime factors of 79575 are 3, 5, 1061. Prime factorization of 79575 in exponential form is:

79575 = 31 × 52 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 79571 and 79575.

LCM(79571,79575) = 471 × 16931 × 31 × 52 × 10611
LCM(79571,79575) = 6331862325