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What is the Least Common Multiple of 91367 and 91378?

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 91367 and 91378 is 8348933726.

LCM(91367,91378) = 8348933726

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Least Common Multiple of 91367 and 91378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91367 and 91378, than apply into the LCM equation.

GCF(91367,91378) = 1
LCM(91367,91378) = ( 91367 × 91378) / 1
LCM(91367,91378) = 8348933726 / 1
LCM(91367,91378) = 8348933726

Least Common Multiple (LCM) of 91367 and 91378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91367 and 91378. First we will calculate the prime factors of 91367 and 91378.

Prime Factorization of 91367

Prime factors of 91367 are 91367. Prime factorization of 91367 in exponential form is:

91367 = 913671

Prime Factorization of 91378

Prime factors of 91378 are 2, 7, 61, 107. Prime factorization of 91378 in exponential form is:

91378 = 21 × 71 × 611 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 91367 and 91378.

LCM(91367,91378) = 913671 × 21 × 71 × 611 × 1071
LCM(91367,91378) = 8348933726