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What is the Least Common Multiple of 92385 and 92397?

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 92385 and 92397 is 2845365615.

LCM(92385,92397) = 2845365615

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Least Common Multiple of 92385 and 92397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92385 and 92397, than apply into the LCM equation.

GCF(92385,92397) = 3
LCM(92385,92397) = ( 92385 × 92397) / 3
LCM(92385,92397) = 8536096845 / 3
LCM(92385,92397) = 2845365615

Least Common Multiple (LCM) of 92385 and 92397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92385 and 92397. First we will calculate the prime factors of 92385 and 92397.

Prime Factorization of 92385

Prime factors of 92385 are 3, 5, 2053. Prime factorization of 92385 in exponential form is:

92385 = 32 × 51 × 20531

Prime Factorization of 92397

Prime factors of 92397 are 3, 19, 1621. Prime factorization of 92397 in exponential form is:

92397 = 31 × 191 × 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 92385 and 92397.

LCM(92385,92397) = 32 × 51 × 20531 × 191 × 16211
LCM(92385,92397) = 2845365615