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What is the Least Common Multiple of 91904 and 91913?

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 91904 and 91913 is 8447172352.

LCM(91904,91913) = 8447172352

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Least Common Multiple of 91904 and 91913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91904 and 91913, than apply into the LCM equation.

GCF(91904,91913) = 1
LCM(91904,91913) = ( 91904 × 91913) / 1
LCM(91904,91913) = 8447172352 / 1
LCM(91904,91913) = 8447172352

Least Common Multiple (LCM) of 91904 and 91913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91904 and 91913. First we will calculate the prime factors of 91904 and 91913.

Prime Factorization of 91904

Prime factors of 91904 are 2, 359. Prime factorization of 91904 in exponential form is:

91904 = 28 × 3591

Prime Factorization of 91913

Prime factors of 91913 are 107, 859. Prime factorization of 91913 in exponential form is:

91913 = 1071 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 91904 and 91913.

LCM(91904,91913) = 28 × 3591 × 1071 × 8591
LCM(91904,91913) = 8447172352