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What is the Least Common Multiple of 95015 and 95019?

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 95015 and 95019 is 9028230285.

LCM(95015,95019) = 9028230285

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Least Common Multiple of 95015 and 95019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95015 and 95019, than apply into the LCM equation.

GCF(95015,95019) = 1
LCM(95015,95019) = ( 95015 × 95019) / 1
LCM(95015,95019) = 9028230285 / 1
LCM(95015,95019) = 9028230285

Least Common Multiple (LCM) of 95015 and 95019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95015 and 95019. First we will calculate the prime factors of 95015 and 95019.

Prime Factorization of 95015

Prime factors of 95015 are 5, 31, 613. Prime factorization of 95015 in exponential form is:

95015 = 51 × 311 × 6131

Prime Factorization of 95019

Prime factors of 95019 are 3, 19, 1667. Prime factorization of 95019 in exponential form is:

95019 = 31 × 191 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 95015 and 95019.

LCM(95015,95019) = 51 × 311 × 6131 × 31 × 191 × 16671
LCM(95015,95019) = 9028230285