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What is the Least Common Multiple of 96113 and 96130?

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 96113 and 96130 is 9239342690.

LCM(96113,96130) = 9239342690

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Least Common Multiple of 96113 and 96130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96113 and 96130, than apply into the LCM equation.

GCF(96113,96130) = 1
LCM(96113,96130) = ( 96113 × 96130) / 1
LCM(96113,96130) = 9239342690 / 1
LCM(96113,96130) = 9239342690

Least Common Multiple (LCM) of 96113 and 96130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96113 and 96130. First we will calculate the prime factors of 96113 and 96130.

Prime Factorization of 96113

Prime factors of 96113 are 223, 431. Prime factorization of 96113 in exponential form is:

96113 = 2231 × 4311

Prime Factorization of 96130

Prime factors of 96130 are 2, 5, 9613. Prime factorization of 96130 in exponential form is:

96130 = 21 × 51 × 96131

Now multiplying the highest exponent prime factors to calculate the LCM of 96113 and 96130.

LCM(96113,96130) = 2231 × 4311 × 21 × 51 × 96131
LCM(96113,96130) = 9239342690