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What is the Least Common Multiple of 92436 and 92443?

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 92436 and 92443 is 8545061148.

LCM(92436,92443) = 8545061148

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Least Common Multiple of 92436 and 92443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92436 and 92443, than apply into the LCM equation.

GCF(92436,92443) = 1
LCM(92436,92443) = ( 92436 × 92443) / 1
LCM(92436,92443) = 8545061148 / 1
LCM(92436,92443) = 8545061148

Least Common Multiple (LCM) of 92436 and 92443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92436 and 92443. First we will calculate the prime factors of 92436 and 92443.

Prime Factorization of 92436

Prime factors of 92436 are 2, 3, 7703. Prime factorization of 92436 in exponential form is:

92436 = 22 × 31 × 77031

Prime Factorization of 92443

Prime factors of 92443 are 13, 547. Prime factorization of 92443 in exponential form is:

92443 = 132 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 92436 and 92443.

LCM(92436,92443) = 22 × 31 × 77031 × 132 × 5471
LCM(92436,92443) = 8545061148