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What is the Least Common Multiple of 91585 and 91599?

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 91585 and 91599 is 8389094415.

LCM(91585,91599) = 8389094415

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Least Common Multiple of 91585 and 91599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91585 and 91599, than apply into the LCM equation.

GCF(91585,91599) = 1
LCM(91585,91599) = ( 91585 × 91599) / 1
LCM(91585,91599) = 8389094415 / 1
LCM(91585,91599) = 8389094415

Least Common Multiple (LCM) of 91585 and 91599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91585 and 91599. First we will calculate the prime factors of 91585 and 91599.

Prime Factorization of 91585

Prime factors of 91585 are 5, 13, 1409. Prime factorization of 91585 in exponential form is:

91585 = 51 × 131 × 14091

Prime Factorization of 91599

Prime factors of 91599 are 3, 19, 1607. Prime factorization of 91599 in exponential form is:

91599 = 31 × 191 × 16071

Now multiplying the highest exponent prime factors to calculate the LCM of 91585 and 91599.

LCM(91585,91599) = 51 × 131 × 14091 × 31 × 191 × 16071
LCM(91585,91599) = 8389094415