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What is the Least Common Multiple of 92334 and 92339?

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 92334 and 92339 is 8526029226.

LCM(92334,92339) = 8526029226

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Least Common Multiple of 92334 and 92339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92334 and 92339, than apply into the LCM equation.

GCF(92334,92339) = 1
LCM(92334,92339) = ( 92334 × 92339) / 1
LCM(92334,92339) = 8526029226 / 1
LCM(92334,92339) = 8526029226

Least Common Multiple (LCM) of 92334 and 92339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92334 and 92339. First we will calculate the prime factors of 92334 and 92339.

Prime Factorization of 92334

Prime factors of 92334 are 2, 3, 11, 1399. Prime factorization of 92334 in exponential form is:

92334 = 21 × 31 × 111 × 13991

Prime Factorization of 92339

Prime factors of 92339 are 13, 7103. Prime factorization of 92339 in exponential form is:

92339 = 131 × 71031

Now multiplying the highest exponent prime factors to calculate the LCM of 92334 and 92339.

LCM(92334,92339) = 21 × 31 × 111 × 13991 × 131 × 71031
LCM(92334,92339) = 8526029226