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What is the Least Common Multiple of 79391 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 79391 and 79397 is 6303407227.

LCM(79391,79397) = 6303407227

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Least Common Multiple of 79391 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 79391 and 79397, than apply into the LCM equation.

GCF(79391,79397) = 1
LCM(79391,79397) = ( 79391 × 79397) / 1
LCM(79391,79397) = 6303407227 / 1
LCM(79391,79397) = 6303407227

Least Common Multiple (LCM) of 79391 and 79397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79391 and 79397. First we will calculate the prime factors of 79391 and 79397.

Prime Factorization of 79391

Prime factors of 79391 are 13, 31, 197. Prime factorization of 79391 in exponential form is:

79391 = 131 × 311 × 1971

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 79391 and 79397.

LCM(79391,79397) = 131 × 311 × 1971 × 793971
LCM(79391,79397) = 6303407227