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What is the Least Common Multiple of 92364 and 92383?

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 92364 and 92383 is 8532863412.

LCM(92364,92383) = 8532863412

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Least Common Multiple of 92364 and 92383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92364 and 92383, than apply into the LCM equation.

GCF(92364,92383) = 1
LCM(92364,92383) = ( 92364 × 92383) / 1
LCM(92364,92383) = 8532863412 / 1
LCM(92364,92383) = 8532863412

Least Common Multiple (LCM) of 92364 and 92383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92364 and 92383. First we will calculate the prime factors of 92364 and 92383.

Prime Factorization of 92364

Prime factors of 92364 are 2, 3, 43, 179. Prime factorization of 92364 in exponential form is:

92364 = 22 × 31 × 431 × 1791

Prime Factorization of 92383

Prime factors of 92383 are 92383. Prime factorization of 92383 in exponential form is:

92383 = 923831

Now multiplying the highest exponent prime factors to calculate the LCM of 92364 and 92383.

LCM(92364,92383) = 22 × 31 × 431 × 1791 × 923831
LCM(92364,92383) = 8532863412