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What is the Least Common Multiple of 79865 and 79881?

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 79865 and 79881 is 6379696065.

LCM(79865,79881) = 6379696065

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Least Common Multiple of 79865 and 79881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79865 and 79881, than apply into the LCM equation.

GCF(79865,79881) = 1
LCM(79865,79881) = ( 79865 × 79881) / 1
LCM(79865,79881) = 6379696065 / 1
LCM(79865,79881) = 6379696065

Least Common Multiple (LCM) of 79865 and 79881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79865 and 79881. First we will calculate the prime factors of 79865 and 79881.

Prime Factorization of 79865

Prime factors of 79865 are 5, 15973. Prime factorization of 79865 in exponential form is:

79865 = 51 × 159731

Prime Factorization of 79881

Prime factors of 79881 are 3, 26627. Prime factorization of 79881 in exponential form is:

79881 = 31 × 266271

Now multiplying the highest exponent prime factors to calculate the LCM of 79865 and 79881.

LCM(79865,79881) = 51 × 159731 × 31 × 266271
LCM(79865,79881) = 6379696065