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What is the Least Common Multiple of 79858 and 79873?

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 79858 and 79873 is 6378498034.

LCM(79858,79873) = 6378498034

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Least Common Multiple of 79858 and 79873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79858 and 79873, than apply into the LCM equation.

GCF(79858,79873) = 1
LCM(79858,79873) = ( 79858 × 79873) / 1
LCM(79858,79873) = 6378498034 / 1
LCM(79858,79873) = 6378498034

Least Common Multiple (LCM) of 79858 and 79873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79858 and 79873. First we will calculate the prime factors of 79858 and 79873.

Prime Factorization of 79858

Prime factors of 79858 are 2, 39929. Prime factorization of 79858 in exponential form is:

79858 = 21 × 399291

Prime Factorization of 79873

Prime factors of 79873 are 79873. Prime factorization of 79873 in exponential form is:

79873 = 798731

Now multiplying the highest exponent prime factors to calculate the LCM of 79858 and 79873.

LCM(79858,79873) = 21 × 399291 × 798731
LCM(79858,79873) = 6378498034