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What is the Least Common Multiple of 93613 and 93631?

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 93613 and 93631 is 8765078803.

LCM(93613,93631) = 8765078803

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Least Common Multiple of 93613 and 93631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93613 and 93631, than apply into the LCM equation.

GCF(93613,93631) = 1
LCM(93613,93631) = ( 93613 × 93631) / 1
LCM(93613,93631) = 8765078803 / 1
LCM(93613,93631) = 8765078803

Least Common Multiple (LCM) of 93613 and 93631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93613 and 93631. First we will calculate the prime factors of 93613 and 93631.

Prime Factorization of 93613

Prime factors of 93613 are 13, 19, 379. Prime factorization of 93613 in exponential form is:

93613 = 131 × 191 × 3791

Prime Factorization of 93631

Prime factors of 93631 are 109, 859. Prime factorization of 93631 in exponential form is:

93631 = 1091 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 93613 and 93631.

LCM(93613,93631) = 131 × 191 × 3791 × 1091 × 8591
LCM(93613,93631) = 8765078803