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What is the Least Common Multiple of 92691 and 92704?

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 92691 and 92704 is 8592826464.

LCM(92691,92704) = 8592826464

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Least Common Multiple of 92691 and 92704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92691 and 92704, than apply into the LCM equation.

GCF(92691,92704) = 1
LCM(92691,92704) = ( 92691 × 92704) / 1
LCM(92691,92704) = 8592826464 / 1
LCM(92691,92704) = 8592826464

Least Common Multiple (LCM) of 92691 and 92704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92691 and 92704. First we will calculate the prime factors of 92691 and 92704.

Prime Factorization of 92691

Prime factors of 92691 are 3, 3433. Prime factorization of 92691 in exponential form is:

92691 = 33 × 34331

Prime Factorization of 92704

Prime factors of 92704 are 2, 2897. Prime factorization of 92704 in exponential form is:

92704 = 25 × 28971

Now multiplying the highest exponent prime factors to calculate the LCM of 92691 and 92704.

LCM(92691,92704) = 33 × 34331 × 25 × 28971
LCM(92691,92704) = 8592826464