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What is the Least Common Multiple of 95158 and 95171?

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 95158 and 95171 is 9056282018.

LCM(95158,95171) = 9056282018

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Least Common Multiple of 95158 and 95171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95158 and 95171, than apply into the LCM equation.

GCF(95158,95171) = 1
LCM(95158,95171) = ( 95158 × 95171) / 1
LCM(95158,95171) = 9056282018 / 1
LCM(95158,95171) = 9056282018

Least Common Multiple (LCM) of 95158 and 95171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95158 and 95171. First we will calculate the prime factors of 95158 and 95171.

Prime Factorization of 95158

Prime factors of 95158 are 2, 7, 971. Prime factorization of 95158 in exponential form is:

95158 = 21 × 72 × 9711

Prime Factorization of 95171

Prime factors of 95171 are 19, 5009. Prime factorization of 95171 in exponential form is:

95171 = 191 × 50091

Now multiplying the highest exponent prime factors to calculate the LCM of 95158 and 95171.

LCM(95158,95171) = 21 × 72 × 9711 × 191 × 50091
LCM(95158,95171) = 9056282018