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What is the Least Common Multiple of 95707 and 95722?

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 95722 is 9161265454.

LCM(95707,95722) = 9161265454

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Least Common Multiple of 95707 and 95722 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 95722, than apply into the LCM equation.

GCF(95707,95722) = 1
LCM(95707,95722) = ( 95707 × 95722) / 1
LCM(95707,95722) = 9161265454 / 1
LCM(95707,95722) = 9161265454

Least Common Multiple (LCM) of 95707 and 95722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95707 and 95722. First we will calculate the prime factors of 95707 and 95722.

Prime Factorization of 95707

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

95707 = 957071

Prime Factorization of 95722

Prime factors of 95722 are 2, 11, 19, 229. Prime factorization of 95722 in exponential form is:

95722 = 21 × 111 × 191 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 95707 and 95722.

LCM(95707,95722) = 957071 × 21 × 111 × 191 × 2291
LCM(95707,95722) = 9161265454