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What is the Least Common Multiple of 95707 and 95711?

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 95707 and 95711 is 9160212677.

LCM(95707,95711) = 9160212677

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Least Common Multiple of 95707 and 95711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95707 and 95711, than apply into the LCM equation.

GCF(95707,95711) = 1
LCM(95707,95711) = ( 95707 × 95711) / 1
LCM(95707,95711) = 9160212677 / 1
LCM(95707,95711) = 9160212677

Least Common Multiple (LCM) of 95707 and 95711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95707 and 95711. First we will calculate the prime factors of 95707 and 95711.

Prime Factorization of 95707

Prime factors of 95707 are 95707. Prime factorization of 95707 in exponential form is:

95707 = 957071

Prime Factorization of 95711

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

95711 = 71 × 112 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 95707 and 95711.

LCM(95707,95711) = 957071 × 71 × 112 × 1131
LCM(95707,95711) = 9160212677