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What is the Least Common Multiple of 95010 and 95017?

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 95017 is 9027565170.

LCM(95010,95017) = 9027565170

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Least Common Multiple of 95010 and 95017 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 95017, than apply into the LCM equation.

GCF(95010,95017) = 1
LCM(95010,95017) = ( 95010 × 95017) / 1
LCM(95010,95017) = 9027565170 / 1
LCM(95010,95017) = 9027565170

Least Common Multiple (LCM) of 95010 and 95017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95010 and 95017. First we will calculate the prime factors of 95010 and 95017.

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 95017

Prime factors of 95017 are 13, 7309. Prime factorization of 95017 in exponential form is:

95017 = 131 × 73091

Now multiplying the highest exponent prime factors to calculate the LCM of 95010 and 95017.

LCM(95010,95017) = 21 × 31 × 51 × 31671 × 131 × 73091
LCM(95010,95017) = 9027565170