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What is the Least Common Multiple of 79388 and 79397?

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 79388 and 79397 is 6303169036.

LCM(79388,79397) = 6303169036

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Least Common Multiple of 79388 and 79397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79388 and 79397, than apply into the LCM equation.

GCF(79388,79397) = 1
LCM(79388,79397) = ( 79388 × 79397) / 1
LCM(79388,79397) = 6303169036 / 1
LCM(79388,79397) = 6303169036

Least Common Multiple (LCM) of 79388 and 79397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79388 and 79397. First we will calculate the prime factors of 79388 and 79397.

Prime Factorization of 79388

Prime factors of 79388 are 2, 89, 223. Prime factorization of 79388 in exponential form is:

79388 = 22 × 891 × 2231

Prime Factorization of 79397

Prime factors of 79397 are 79397. Prime factorization of 79397 in exponential form is:

79397 = 793971

Now multiplying the highest exponent prime factors to calculate the LCM of 79388 and 79397.

LCM(79388,79397) = 22 × 891 × 2231 × 793971
LCM(79388,79397) = 6303169036