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What is the Least Common Multiple of 92759 and 92768?

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 92759 and 92768 is 8605066912.

LCM(92759,92768) = 8605066912

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Least Common Multiple of 92759 and 92768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92759 and 92768, than apply into the LCM equation.

GCF(92759,92768) = 1
LCM(92759,92768) = ( 92759 × 92768) / 1
LCM(92759,92768) = 8605066912 / 1
LCM(92759,92768) = 8605066912

Least Common Multiple (LCM) of 92759 and 92768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92759 and 92768. First we will calculate the prime factors of 92759 and 92768.

Prime Factorization of 92759

Prime factors of 92759 are 23, 37, 109. Prime factorization of 92759 in exponential form is:

92759 = 231 × 371 × 1091

Prime Factorization of 92768

Prime factors of 92768 are 2, 13, 223. Prime factorization of 92768 in exponential form is:

92768 = 25 × 131 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 92759 and 92768.

LCM(92759,92768) = 231 × 371 × 1091 × 25 × 131 × 2231
LCM(92759,92768) = 8605066912