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What is the Least Common Multiple of 92579 and 92584?

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 92579 and 92584 is 8571334136.

LCM(92579,92584) = 8571334136

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Least Common Multiple of 92579 and 92584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92579 and 92584, than apply into the LCM equation.

GCF(92579,92584) = 1
LCM(92579,92584) = ( 92579 × 92584) / 1
LCM(92579,92584) = 8571334136 / 1
LCM(92579,92584) = 8571334136

Least Common Multiple (LCM) of 92579 and 92584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92579 and 92584. First we will calculate the prime factors of 92579 and 92584.

Prime Factorization of 92579

Prime factors of 92579 are 43, 2153. Prime factorization of 92579 in exponential form is:

92579 = 431 × 21531

Prime Factorization of 92584

Prime factors of 92584 are 2, 71, 163. Prime factorization of 92584 in exponential form is:

92584 = 23 × 711 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 92579 and 92584.

LCM(92579,92584) = 431 × 21531 × 23 × 711 × 1631
LCM(92579,92584) = 8571334136