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What is the Least Common Multiple of 92693 and 92707?

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 92693 and 92707 is 8593289951.

LCM(92693,92707) = 8593289951

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Least Common Multiple of 92693 and 92707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92693 and 92707, than apply into the LCM equation.

GCF(92693,92707) = 1
LCM(92693,92707) = ( 92693 × 92707) / 1
LCM(92693,92707) = 8593289951 / 1
LCM(92693,92707) = 8593289951

Least Common Multiple (LCM) of 92693 and 92707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92693 and 92707. First we will calculate the prime factors of 92693 and 92707.

Prime Factorization of 92693

Prime factors of 92693 are 92693. Prime factorization of 92693 in exponential form is:

92693 = 926931

Prime Factorization of 92707

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

92707 = 927071

Now multiplying the highest exponent prime factors to calculate the LCM of 92693 and 92707.

LCM(92693,92707) = 926931 × 927071
LCM(92693,92707) = 8593289951