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What is the Least Common Multiple of 96581 and 96598?

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 96581 and 96598 is 9329531438.

LCM(96581,96598) = 9329531438

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Least Common Multiple of 96581 and 96598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96581 and 96598, than apply into the LCM equation.

GCF(96581,96598) = 1
LCM(96581,96598) = ( 96581 × 96598) / 1
LCM(96581,96598) = 9329531438 / 1
LCM(96581,96598) = 9329531438

Least Common Multiple (LCM) of 96581 and 96598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96581 and 96598. First we will calculate the prime factors of 96581 and 96598.

Prime Factorization of 96581

Prime factors of 96581 are 96581. Prime factorization of 96581 in exponential form is:

96581 = 965811

Prime Factorization of 96598

Prime factors of 96598 are 2, 48299. Prime factorization of 96598 in exponential form is:

96598 = 21 × 482991

Now multiplying the highest exponent prime factors to calculate the LCM of 96581 and 96598.

LCM(96581,96598) = 965811 × 21 × 482991
LCM(96581,96598) = 9329531438