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What is the Least Common Multiple of 95010 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 95010 and 95020 is 902785020.

LCM(95010,95020) = 902785020

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Least Common Multiple of 95010 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 95010 and 95020, than apply into the LCM equation.

GCF(95010,95020) = 10
LCM(95010,95020) = ( 95010 × 95020) / 10
LCM(95010,95020) = 9027850200 / 10
LCM(95010,95020) = 902785020

Least Common Multiple (LCM) of 95010 and 95020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95010 and 95020. First we will calculate the prime factors of 95010 and 95020.

Prime Factorization of 95010

Prime factors of 95010 are 2, 3, 5, 3167. Prime factorization of 95010 in exponential form is:

95010 = 21 × 31 × 51 × 31671

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 95010 and 95020.

LCM(95010,95020) = 22 × 31 × 51 × 31671 × 47511
LCM(95010,95020) = 902785020