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What is the Least Common Multiple of 79110 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 79110 and 79127 is 6259736970.

LCM(79110,79127) = 6259736970

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Least Common Multiple of 79110 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 79110 and 79127, than apply into the LCM equation.

GCF(79110,79127) = 1
LCM(79110,79127) = ( 79110 × 79127) / 1
LCM(79110,79127) = 6259736970 / 1
LCM(79110,79127) = 6259736970

Least Common Multiple (LCM) of 79110 and 79127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79110 and 79127. First we will calculate the prime factors of 79110 and 79127.

Prime Factorization of 79110

Prime factors of 79110 are 2, 3, 5, 293. Prime factorization of 79110 in exponential form is:

79110 = 21 × 33 × 51 × 2931

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 79110 and 79127.

LCM(79110,79127) = 21 × 33 × 51 × 2931 × 671 × 11811
LCM(79110,79127) = 6259736970