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What is the Least Common Multiple of 97376 and 97391?

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 97376 and 97391 is 9483546016.

LCM(97376,97391) = 9483546016

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Least Common Multiple of 97376 and 97391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97376 and 97391, than apply into the LCM equation.

GCF(97376,97391) = 1
LCM(97376,97391) = ( 97376 × 97391) / 1
LCM(97376,97391) = 9483546016 / 1
LCM(97376,97391) = 9483546016

Least Common Multiple (LCM) of 97376 and 97391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97376 and 97391. First we will calculate the prime factors of 97376 and 97391.

Prime Factorization of 97376

Prime factors of 97376 are 2, 17, 179. Prime factorization of 97376 in exponential form is:

97376 = 25 × 171 × 1791

Prime Factorization of 97391

Prime factors of 97391 are 7, 13913. Prime factorization of 97391 in exponential form is:

97391 = 71 × 139131

Now multiplying the highest exponent prime factors to calculate the LCM of 97376 and 97391.

LCM(97376,97391) = 25 × 171 × 1791 × 71 × 139131
LCM(97376,97391) = 9483546016