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What is the Least Common Multiple of 91650 and 91655?

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 91650 and 91655 is 1680036150.

LCM(91650,91655) = 1680036150

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Least Common Multiple of 91650 and 91655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91650 and 91655, than apply into the LCM equation.

GCF(91650,91655) = 5
LCM(91650,91655) = ( 91650 × 91655) / 5
LCM(91650,91655) = 8400180750 / 5
LCM(91650,91655) = 1680036150

Least Common Multiple (LCM) of 91650 and 91655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91650 and 91655. First we will calculate the prime factors of 91650 and 91655.

Prime Factorization of 91650

Prime factors of 91650 are 2, 3, 5, 13, 47. Prime factorization of 91650 in exponential form is:

91650 = 21 × 31 × 52 × 131 × 471

Prime Factorization of 91655

Prime factors of 91655 are 5, 23, 797. Prime factorization of 91655 in exponential form is:

91655 = 51 × 231 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 91650 and 91655.

LCM(91650,91655) = 21 × 31 × 52 × 131 × 471 × 231 × 7971
LCM(91650,91655) = 1680036150