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What is the Least Common Multiple of 92644 and 92656?

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 92644 and 92656 is 2146005616.

LCM(92644,92656) = 2146005616

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Least Common Multiple of 92644 and 92656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92644 and 92656, than apply into the LCM equation.

GCF(92644,92656) = 4
LCM(92644,92656) = ( 92644 × 92656) / 4
LCM(92644,92656) = 8584022464 / 4
LCM(92644,92656) = 2146005616

Least Common Multiple (LCM) of 92644 and 92656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92644 and 92656. First we will calculate the prime factors of 92644 and 92656.

Prime Factorization of 92644

Prime factors of 92644 are 2, 19, 23, 53. Prime factorization of 92644 in exponential form is:

92644 = 22 × 191 × 231 × 531

Prime Factorization of 92656

Prime factors of 92656 are 2, 5791. Prime factorization of 92656 in exponential form is:

92656 = 24 × 57911

Now multiplying the highest exponent prime factors to calculate the LCM of 92644 and 92656.

LCM(92644,92656) = 24 × 191 × 231 × 531 × 57911
LCM(92644,92656) = 2146005616