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What is the Least Common Multiple of 92744 and 92763?

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 92744 and 92763 is 8603211672.

LCM(92744,92763) = 8603211672

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Least Common Multiple of 92744 and 92763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92744 and 92763, than apply into the LCM equation.

GCF(92744,92763) = 1
LCM(92744,92763) = ( 92744 × 92763) / 1
LCM(92744,92763) = 8603211672 / 1
LCM(92744,92763) = 8603211672

Least Common Multiple (LCM) of 92744 and 92763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92744 and 92763. First we will calculate the prime factors of 92744 and 92763.

Prime Factorization of 92744

Prime factors of 92744 are 2, 11593. Prime factorization of 92744 in exponential form is:

92744 = 23 × 115931

Prime Factorization of 92763

Prime factors of 92763 are 3, 11, 937. Prime factorization of 92763 in exponential form is:

92763 = 32 × 111 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 92744 and 92763.

LCM(92744,92763) = 23 × 115931 × 32 × 111 × 9371
LCM(92744,92763) = 8603211672