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What is the Least Common Multiple of 97391 and 97404?

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 97391 and 97404 is 9486272964.

LCM(97391,97404) = 9486272964

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Least Common Multiple of 97391 and 97404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97391 and 97404, than apply into the LCM equation.

GCF(97391,97404) = 1
LCM(97391,97404) = ( 97391 × 97404) / 1
LCM(97391,97404) = 9486272964 / 1
LCM(97391,97404) = 9486272964

Least Common Multiple (LCM) of 97391 and 97404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97391 and 97404. First we will calculate the prime factors of 97391 and 97404.

Prime Factorization of 97391

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

97391 = 71 × 139131

Prime Factorization of 97404

Prime factors of 97404 are 2, 3, 8117. Prime factorization of 97404 in exponential form is:

97404 = 22 × 31 × 81171

Now multiplying the highest exponent prime factors to calculate the LCM of 97391 and 97404.

LCM(97391,97404) = 71 × 139131 × 22 × 31 × 81171
LCM(97391,97404) = 9486272964