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What is the Least Common Multiple of 79016 and 79023?

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 79016 and 79023 is 892011624.

LCM(79016,79023) = 892011624

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Least Common Multiple of 79016 and 79023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79016 and 79023, than apply into the LCM equation.

GCF(79016,79023) = 7
LCM(79016,79023) = ( 79016 × 79023) / 7
LCM(79016,79023) = 6244081368 / 7
LCM(79016,79023) = 892011624

Least Common Multiple (LCM) of 79016 and 79023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79016 and 79023. First we will calculate the prime factors of 79016 and 79023.

Prime Factorization of 79016

Prime factors of 79016 are 2, 7, 17, 83. Prime factorization of 79016 in exponential form is:

79016 = 23 × 71 × 171 × 831

Prime Factorization of 79023

Prime factors of 79023 are 3, 7, 53, 71. Prime factorization of 79023 in exponential form is:

79023 = 31 × 71 × 531 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 79016 and 79023.

LCM(79016,79023) = 23 × 71 × 171 × 831 × 31 × 531 × 711
LCM(79016,79023) = 892011624