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What is the Least Common Multiple of 95711 and 95726?

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 95711 and 95726 is 9162031186.

LCM(95711,95726) = 9162031186

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Least Common Multiple of 95711 and 95726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95711 and 95726, than apply into the LCM equation.

GCF(95711,95726) = 1
LCM(95711,95726) = ( 95711 × 95726) / 1
LCM(95711,95726) = 9162031186 / 1
LCM(95711,95726) = 9162031186

Least Common Multiple (LCM) of 95711 and 95726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95711 and 95726. First we will calculate the prime factors of 95711 and 95726.

Prime Factorization of 95711

Prime factors of 95711 are 7, 11, 113. Prime factorization of 95711 in exponential form is:

95711 = 71 × 112 × 1131

Prime Factorization of 95726

Prime factors of 95726 are 2, 23, 2081. Prime factorization of 95726 in exponential form is:

95726 = 21 × 231 × 20811

Now multiplying the highest exponent prime factors to calculate the LCM of 95711 and 95726.

LCM(95711,95726) = 71 × 112 × 1131 × 21 × 231 × 20811
LCM(95711,95726) = 9162031186