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What is the Least Common Multiple of 92436 and 92448?

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 92448 is 712126944.

LCM(92436,92448) = 712126944

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Least Common Multiple of 92436 and 92448 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 92448, than apply into the LCM equation.

GCF(92436,92448) = 12
LCM(92436,92448) = ( 92436 × 92448) / 12
LCM(92436,92448) = 8545523328 / 12
LCM(92436,92448) = 712126944

Least Common Multiple (LCM) of 92436 and 92448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92436 and 92448. First we will calculate the prime factors of 92436 and 92448.

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 92448

Prime factors of 92448 are 2, 3, 107. Prime factorization of 92448 in exponential form is:

92448 = 25 × 33 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 92436 and 92448.

LCM(92436,92448) = 25 × 33 × 77031 × 1071
LCM(92436,92448) = 712126944