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What is the Least Common Multiple of 95722 and 95727?

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 95722 and 95727 is 9163179894.

LCM(95722,95727) = 9163179894

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Least Common Multiple of 95722 and 95727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95722 and 95727, than apply into the LCM equation.

GCF(95722,95727) = 1
LCM(95722,95727) = ( 95722 × 95727) / 1
LCM(95722,95727) = 9163179894 / 1
LCM(95722,95727) = 9163179894

Least Common Multiple (LCM) of 95722 and 95727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95722 and 95727. First we will calculate the prime factors of 95722 and 95727.

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

Prime Factorization of 95727

Prime factors of 95727 are 3, 17, 1877. Prime factorization of 95727 in exponential form is:

95727 = 31 × 171 × 18771

Now multiplying the highest exponent prime factors to calculate the LCM of 95722 and 95727.

LCM(95722,95727) = 21 × 111 × 191 × 2291 × 31 × 171 × 18771
LCM(95722,95727) = 9163179894