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What is the Least Common Multiple of 79022 and 79038?

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 79022 and 79038 is 3122870418.

LCM(79022,79038) = 3122870418

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Least Common Multiple of 79022 and 79038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79022 and 79038, than apply into the LCM equation.

GCF(79022,79038) = 2
LCM(79022,79038) = ( 79022 × 79038) / 2
LCM(79022,79038) = 6245740836 / 2
LCM(79022,79038) = 3122870418

Least Common Multiple (LCM) of 79022 and 79038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79022 and 79038. First we will calculate the prime factors of 79022 and 79038.

Prime Factorization of 79022

Prime factors of 79022 are 2, 39511. Prime factorization of 79022 in exponential form is:

79022 = 21 × 395111

Prime Factorization of 79038

Prime factors of 79038 are 2, 3, 4391. Prime factorization of 79038 in exponential form is:

79038 = 21 × 32 × 43911

Now multiplying the highest exponent prime factors to calculate the LCM of 79022 and 79038.

LCM(79022,79038) = 21 × 395111 × 32 × 43911
LCM(79022,79038) = 3122870418