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What is the Least Common Multiple of 95081 and 95089?

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 95081 and 95089 is 9041157209.

LCM(95081,95089) = 9041157209

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Least Common Multiple of 95081 and 95089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95081 and 95089, than apply into the LCM equation.

GCF(95081,95089) = 1
LCM(95081,95089) = ( 95081 × 95089) / 1
LCM(95081,95089) = 9041157209 / 1
LCM(95081,95089) = 9041157209

Least Common Multiple (LCM) of 95081 and 95089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95081 and 95089. First we will calculate the prime factors of 95081 and 95089.

Prime Factorization of 95081

Prime factors of 95081 are 7, 17, 47. Prime factorization of 95081 in exponential form is:

95081 = 71 × 172 × 471

Prime Factorization of 95089

Prime factors of 95089 are 95089. Prime factorization of 95089 in exponential form is:

95089 = 950891

Now multiplying the highest exponent prime factors to calculate the LCM of 95081 and 95089.

LCM(95081,95089) = 71 × 172 × 471 × 950891
LCM(95081,95089) = 9041157209