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What is the Least Common Multiple of 97396 and 97401?

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 97396 and 97401 is 9486467796.

LCM(97396,97401) = 9486467796

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Least Common Multiple of 97396 and 97401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97396 and 97401, than apply into the LCM equation.

GCF(97396,97401) = 1
LCM(97396,97401) = ( 97396 × 97401) / 1
LCM(97396,97401) = 9486467796 / 1
LCM(97396,97401) = 9486467796

Least Common Multiple (LCM) of 97396 and 97401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97396 and 97401. First we will calculate the prime factors of 97396 and 97401.

Prime Factorization of 97396

Prime factors of 97396 are 2, 13, 1873. Prime factorization of 97396 in exponential form is:

97396 = 22 × 131 × 18731

Prime Factorization of 97401

Prime factors of 97401 are 3, 32467. Prime factorization of 97401 in exponential form is:

97401 = 31 × 324671

Now multiplying the highest exponent prime factors to calculate the LCM of 97396 and 97401.

LCM(97396,97401) = 22 × 131 × 18731 × 31 × 324671
LCM(97396,97401) = 9486467796