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What is the Least Common Multiple of 91392 and 91397?

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 91392 and 91397 is 8352954624.

LCM(91392,91397) = 8352954624

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Least Common Multiple of 91392 and 91397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91392 and 91397, than apply into the LCM equation.

GCF(91392,91397) = 1
LCM(91392,91397) = ( 91392 × 91397) / 1
LCM(91392,91397) = 8352954624 / 1
LCM(91392,91397) = 8352954624

Least Common Multiple (LCM) of 91392 and 91397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91392 and 91397. First we will calculate the prime factors of 91392 and 91397.

Prime Factorization of 91392

Prime factors of 91392 are 2, 3, 7, 17. Prime factorization of 91392 in exponential form is:

91392 = 28 × 31 × 71 × 171

Prime Factorization of 91397

Prime factors of 91397 are 91397. Prime factorization of 91397 in exponential form is:

91397 = 913971

Now multiplying the highest exponent prime factors to calculate the LCM of 91392 and 91397.

LCM(91392,91397) = 28 × 31 × 71 × 171 × 913971
LCM(91392,91397) = 8352954624