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What is the Least Common Multiple of 92318 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 92318 and 92336 is 4262137424.

LCM(92318,92336) = 4262137424

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Least Common Multiple of 92318 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 92318 and 92336, than apply into the LCM equation.

GCF(92318,92336) = 2
LCM(92318,92336) = ( 92318 × 92336) / 2
LCM(92318,92336) = 8524274848 / 2
LCM(92318,92336) = 4262137424

Least Common Multiple (LCM) of 92318 and 92336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92318 and 92336. First we will calculate the prime factors of 92318 and 92336.

Prime Factorization of 92318

Prime factors of 92318 are 2, 31, 1489. Prime factorization of 92318 in exponential form is:

92318 = 21 × 311 × 14891

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 92318 and 92336.

LCM(92318,92336) = 24 × 311 × 14891 × 291 × 1991
LCM(92318,92336) = 4262137424