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What is the Least Common Multiple of 92465 and 92477?

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 92465 and 92477 is 8550885805.

LCM(92465,92477) = 8550885805

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Least Common Multiple of 92465 and 92477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92465 and 92477, than apply into the LCM equation.

GCF(92465,92477) = 1
LCM(92465,92477) = ( 92465 × 92477) / 1
LCM(92465,92477) = 8550885805 / 1
LCM(92465,92477) = 8550885805

Least Common Multiple (LCM) of 92465 and 92477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92465 and 92477. First we will calculate the prime factors of 92465 and 92477.

Prime Factorization of 92465

Prime factors of 92465 are 5, 18493. Prime factorization of 92465 in exponential form is:

92465 = 51 × 184931

Prime Factorization of 92477

Prime factors of 92477 are 7, 11, 1201. Prime factorization of 92477 in exponential form is:

92477 = 71 × 111 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 92465 and 92477.

LCM(92465,92477) = 51 × 184931 × 71 × 111 × 12011
LCM(92465,92477) = 8550885805