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What is the Least Common Multiple of 95005 and 95020?

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 95005 and 95020 is 1805475020.

LCM(95005,95020) = 1805475020

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Least Common Multiple of 95005 and 95020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95005 and 95020, than apply into the LCM equation.

GCF(95005,95020) = 5
LCM(95005,95020) = ( 95005 × 95020) / 5
LCM(95005,95020) = 9027375100 / 5
LCM(95005,95020) = 1805475020

Least Common Multiple (LCM) of 95005 and 95020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95005 and 95020. First we will calculate the prime factors of 95005 and 95020.

Prime Factorization of 95005

Prime factors of 95005 are 5, 19001. Prime factorization of 95005 in exponential form is:

95005 = 51 × 190011

Prime Factorization of 95020

Prime factors of 95020 are 2, 5, 4751. Prime factorization of 95020 in exponential form is:

95020 = 22 × 51 × 47511

Now multiplying the highest exponent prime factors to calculate the LCM of 95005 and 95020.

LCM(95005,95020) = 51 × 190011 × 22 × 47511
LCM(95005,95020) = 1805475020