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What is the Least Common Multiple of 92849 and 92856?

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 92849 and 92856 is 8621586744.

LCM(92849,92856) = 8621586744

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Least Common Multiple of 92849 and 92856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92849 and 92856, than apply into the LCM equation.

GCF(92849,92856) = 1
LCM(92849,92856) = ( 92849 × 92856) / 1
LCM(92849,92856) = 8621586744 / 1
LCM(92849,92856) = 8621586744

Least Common Multiple (LCM) of 92849 and 92856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92849 and 92856. First we will calculate the prime factors of 92849 and 92856.

Prime Factorization of 92849

Prime factors of 92849 are 92849. Prime factorization of 92849 in exponential form is:

92849 = 928491

Prime Factorization of 92856

Prime factors of 92856 are 2, 3, 53, 73. Prime factorization of 92856 in exponential form is:

92856 = 23 × 31 × 531 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 92849 and 92856.

LCM(92849,92856) = 928491 × 23 × 31 × 531 × 731
LCM(92849,92856) = 8621586744