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What is the Least Common Multiple of 95141 and 95149?

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 95141 and 95149 is 9052571009.

LCM(95141,95149) = 9052571009

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Least Common Multiple of 95141 and 95149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95141 and 95149, than apply into the LCM equation.

GCF(95141,95149) = 1
LCM(95141,95149) = ( 95141 × 95149) / 1
LCM(95141,95149) = 9052571009 / 1
LCM(95141,95149) = 9052571009

Least Common Multiple (LCM) of 95141 and 95149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95141 and 95149. First we will calculate the prime factors of 95141 and 95149.

Prime Factorization of 95141

Prime factors of 95141 are 89, 1069. Prime factorization of 95141 in exponential form is:

95141 = 891 × 10691

Prime Factorization of 95149

Prime factors of 95149 are 17, 29, 193. Prime factorization of 95149 in exponential form is:

95149 = 171 × 291 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 95141 and 95149.

LCM(95141,95149) = 891 × 10691 × 171 × 291 × 1931
LCM(95141,95149) = 9052571009