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What is the Least Common Multiple of 92328 and 92335?

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 92328 and 92335 is 8525105880.

LCM(92328,92335) = 8525105880

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Least Common Multiple of 92328 and 92335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92328 and 92335, than apply into the LCM equation.

GCF(92328,92335) = 1
LCM(92328,92335) = ( 92328 × 92335) / 1
LCM(92328,92335) = 8525105880 / 1
LCM(92328,92335) = 8525105880

Least Common Multiple (LCM) of 92328 and 92335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92328 and 92335. First we will calculate the prime factors of 92328 and 92335.

Prime Factorization of 92328

Prime factors of 92328 are 2, 3, 3847. Prime factorization of 92328 in exponential form is:

92328 = 23 × 31 × 38471

Prime Factorization of 92335

Prime factors of 92335 are 5, 59, 313. Prime factorization of 92335 in exponential form is:

92335 = 51 × 591 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 92328 and 92335.

LCM(92328,92335) = 23 × 31 × 38471 × 51 × 591 × 3131
LCM(92328,92335) = 8525105880