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What is the Least Common Multiple of 92707 and 92727?

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 92707 and 92727 is 8596441989.

LCM(92707,92727) = 8596441989

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Least Common Multiple of 92707 and 92727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92707 and 92727, than apply into the LCM equation.

GCF(92707,92727) = 1
LCM(92707,92727) = ( 92707 × 92727) / 1
LCM(92707,92727) = 8596441989 / 1
LCM(92707,92727) = 8596441989

Least Common Multiple (LCM) of 92707 and 92727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92707 and 92727. First we will calculate the prime factors of 92707 and 92727.

Prime Factorization of 92707

Prime factors of 92707 are 92707. Prime factorization of 92707 in exponential form is:

92707 = 927071

Prime Factorization of 92727

Prime factors of 92727 are 3, 10303. Prime factorization of 92727 in exponential form is:

92727 = 32 × 103031

Now multiplying the highest exponent prime factors to calculate the LCM of 92707 and 92727.

LCM(92707,92727) = 927071 × 32 × 103031
LCM(92707,92727) = 8596441989