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What is the Least Common Multiple of 79123 and 79127?

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 79123 and 79127 is 6260765621.

LCM(79123,79127) = 6260765621

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Least Common Multiple of 79123 and 79127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79123 and 79127, than apply into the LCM equation.

GCF(79123,79127) = 1
LCM(79123,79127) = ( 79123 × 79127) / 1
LCM(79123,79127) = 6260765621 / 1
LCM(79123,79127) = 6260765621

Least Common Multiple (LCM) of 79123 and 79127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79123 and 79127. First we will calculate the prime factors of 79123 and 79127.

Prime Factorization of 79123

Prime factors of 79123 are 11, 7193. Prime factorization of 79123 in exponential form is:

79123 = 111 × 71931

Prime Factorization of 79127

Prime factors of 79127 are 67, 1181. Prime factorization of 79127 in exponential form is:

79127 = 671 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 79123 and 79127.

LCM(79123,79127) = 111 × 71931 × 671 × 11811
LCM(79123,79127) = 6260765621