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What is the Least Common Multiple of 95105 and 95118?

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 95105 and 95118 is 9046197390.

LCM(95105,95118) = 9046197390

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Least Common Multiple of 95105 and 95118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95105 and 95118, than apply into the LCM equation.

GCF(95105,95118) = 1
LCM(95105,95118) = ( 95105 × 95118) / 1
LCM(95105,95118) = 9046197390 / 1
LCM(95105,95118) = 9046197390

Least Common Multiple (LCM) of 95105 and 95118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95105 and 95118. First we will calculate the prime factors of 95105 and 95118.

Prime Factorization of 95105

Prime factors of 95105 are 5, 23, 827. Prime factorization of 95105 in exponential form is:

95105 = 51 × 231 × 8271

Prime Factorization of 95118

Prime factors of 95118 are 2, 3, 83, 191. Prime factorization of 95118 in exponential form is:

95118 = 21 × 31 × 831 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 95105 and 95118.

LCM(95105,95118) = 51 × 231 × 8271 × 21 × 31 × 831 × 1911
LCM(95105,95118) = 9046197390