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What is the Least Common Multiple of 92356 and 92364?

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 92356 and 92364 is 2132592396.

LCM(92356,92364) = 2132592396

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Least Common Multiple of 92356 and 92364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92356 and 92364, than apply into the LCM equation.

GCF(92356,92364) = 4
LCM(92356,92364) = ( 92356 × 92364) / 4
LCM(92356,92364) = 8530369584 / 4
LCM(92356,92364) = 2132592396

Least Common Multiple (LCM) of 92356 and 92364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92356 and 92364. First we will calculate the prime factors of 92356 and 92364.

Prime Factorization of 92356

Prime factors of 92356 are 2, 11, 2099. Prime factorization of 92356 in exponential form is:

92356 = 22 × 111 × 20991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 92356 and 92364.

LCM(92356,92364) = 22 × 111 × 20991 × 31 × 431 × 1791
LCM(92356,92364) = 2132592396