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What is the Least Common Multiple of 92317 and 92336?

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 92317 and 92336 is 8524182512.

LCM(92317,92336) = 8524182512

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Least Common Multiple of 92317 and 92336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92317 and 92336, than apply into the LCM equation.

GCF(92317,92336) = 1
LCM(92317,92336) = ( 92317 × 92336) / 1
LCM(92317,92336) = 8524182512 / 1
LCM(92317,92336) = 8524182512

Least Common Multiple (LCM) of 92317 and 92336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92317 and 92336. First we will calculate the prime factors of 92317 and 92336.

Prime Factorization of 92317

Prime factors of 92317 are 92317. Prime factorization of 92317 in exponential form is:

92317 = 923171

Prime Factorization of 92336

Prime factors of 92336 are 2, 29, 199. Prime factorization of 92336 in exponential form is:

92336 = 24 × 291 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 92317 and 92336.

LCM(92317,92336) = 923171 × 24 × 291 × 1991
LCM(92317,92336) = 8524182512