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What is the Least Common Multiple of 95070 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 95070 and 95089 is 9040111230.

LCM(95070,95089) = 9040111230

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Least Common Multiple of 95070 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 95070 and 95089, than apply into the LCM equation.

GCF(95070,95089) = 1
LCM(95070,95089) = ( 95070 × 95089) / 1
LCM(95070,95089) = 9040111230 / 1
LCM(95070,95089) = 9040111230

Least Common Multiple (LCM) of 95070 and 95089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95070 and 95089. First we will calculate the prime factors of 95070 and 95089.

Prime Factorization of 95070

Prime factors of 95070 are 2, 3, 5, 3169. Prime factorization of 95070 in exponential form is:

95070 = 21 × 31 × 51 × 31691

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 95070 and 95089.

LCM(95070,95089) = 21 × 31 × 51 × 31691 × 950891
LCM(95070,95089) = 9040111230