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What is the Least Common Multiple of 92334 and 92352?

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 92352 is 1421204928.

LCM(92334,92352) = 1421204928

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Least Common Multiple of 92334 and 92352 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 92352, than apply into the LCM equation.

GCF(92334,92352) = 6
LCM(92334,92352) = ( 92334 × 92352) / 6
LCM(92334,92352) = 8527229568 / 6
LCM(92334,92352) = 1421204928

Least Common Multiple (LCM) of 92334 and 92352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92334 and 92352. First we will calculate the prime factors of 92334 and 92352.

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 92352

Prime factors of 92352 are 2, 3, 13, 37. Prime factorization of 92352 in exponential form is:

92352 = 26 × 31 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 92334 and 92352.

LCM(92334,92352) = 26 × 31 × 111 × 13991 × 131 × 371
LCM(92334,92352) = 1421204928