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What is the Least Common Multiple of 96136 and 96153?

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 96136 and 96153 is 9243764808.

LCM(96136,96153) = 9243764808

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Least Common Multiple of 96136 and 96153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96136 and 96153, than apply into the LCM equation.

GCF(96136,96153) = 1
LCM(96136,96153) = ( 96136 × 96153) / 1
LCM(96136,96153) = 9243764808 / 1
LCM(96136,96153) = 9243764808

Least Common Multiple (LCM) of 96136 and 96153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96136 and 96153. First we will calculate the prime factors of 96136 and 96153.

Prime Factorization of 96136

Prime factors of 96136 are 2, 61, 197. Prime factorization of 96136 in exponential form is:

96136 = 23 × 611 × 1971

Prime Factorization of 96153

Prime factors of 96153 are 3, 32051. Prime factorization of 96153 in exponential form is:

96153 = 31 × 320511

Now multiplying the highest exponent prime factors to calculate the LCM of 96136 and 96153.

LCM(96136,96153) = 23 × 611 × 1971 × 31 × 320511
LCM(96136,96153) = 9243764808