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What is the Least Common Multiple of 95103 and 95117?

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 95103 and 95117 is 9045912051.

LCM(95103,95117) = 9045912051

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Least Common Multiple of 95103 and 95117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95103 and 95117, than apply into the LCM equation.

GCF(95103,95117) = 1
LCM(95103,95117) = ( 95103 × 95117) / 1
LCM(95103,95117) = 9045912051 / 1
LCM(95103,95117) = 9045912051

Least Common Multiple (LCM) of 95103 and 95117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95103 and 95117. First we will calculate the prime factors of 95103 and 95117.

Prime Factorization of 95103

Prime factors of 95103 are 3, 10567. Prime factorization of 95103 in exponential form is:

95103 = 32 × 105671

Prime Factorization of 95117

Prime factors of 95117 are 11, 8647. Prime factorization of 95117 in exponential form is:

95117 = 111 × 86471

Now multiplying the highest exponent prime factors to calculate the LCM of 95103 and 95117.

LCM(95103,95117) = 32 × 105671 × 111 × 86471
LCM(95103,95117) = 9045912051