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What is the Least Common Multiple of 92808 and 92817?

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 92808 and 92817 is 957128904.

LCM(92808,92817) = 957128904

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Least Common Multiple of 92808 and 92817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92808 and 92817, than apply into the LCM equation.

GCF(92808,92817) = 9
LCM(92808,92817) = ( 92808 × 92817) / 9
LCM(92808,92817) = 8614160136 / 9
LCM(92808,92817) = 957128904

Least Common Multiple (LCM) of 92808 and 92817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92808 and 92817. First we will calculate the prime factors of 92808 and 92817.

Prime Factorization of 92808

Prime factors of 92808 are 2, 3, 1289. Prime factorization of 92808 in exponential form is:

92808 = 23 × 32 × 12891

Prime Factorization of 92817

Prime factors of 92817 are 3, 10313. Prime factorization of 92817 in exponential form is:

92817 = 32 × 103131

Now multiplying the highest exponent prime factors to calculate the LCM of 92808 and 92817.

LCM(92808,92817) = 23 × 32 × 12891 × 103131
LCM(92808,92817) = 957128904