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What is the Least Common Multiple of 79979 and 79999?

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 79979 and 79999 is 6398240021.

LCM(79979,79999) = 6398240021

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Least Common Multiple of 79979 and 79999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79979 and 79999, than apply into the LCM equation.

GCF(79979,79999) = 1
LCM(79979,79999) = ( 79979 × 79999) / 1
LCM(79979,79999) = 6398240021 / 1
LCM(79979,79999) = 6398240021

Least Common Multiple (LCM) of 79979 and 79999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79979 and 79999. First we will calculate the prime factors of 79979 and 79999.

Prime Factorization of 79979

Prime factors of 79979 are 79979. Prime factorization of 79979 in exponential form is:

79979 = 799791

Prime Factorization of 79999

Prime factors of 79999 are 79999. Prime factorization of 79999 in exponential form is:

79999 = 799991

Now multiplying the highest exponent prime factors to calculate the LCM of 79979 and 79999.

LCM(79979,79999) = 799791 × 799991
LCM(79979,79999) = 6398240021