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What is the Least Common Multiple of 92488 and 92496?

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 92488 and 92496 is 1069346256.

LCM(92488,92496) = 1069346256

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Least Common Multiple of 92488 and 92496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92488 and 92496, than apply into the LCM equation.

GCF(92488,92496) = 8
LCM(92488,92496) = ( 92488 × 92496) / 8
LCM(92488,92496) = 8554770048 / 8
LCM(92488,92496) = 1069346256

Least Common Multiple (LCM) of 92488 and 92496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92488 and 92496. First we will calculate the prime factors of 92488 and 92496.

Prime Factorization of 92488

Prime factors of 92488 are 2, 11, 1051. Prime factorization of 92488 in exponential form is:

92488 = 23 × 111 × 10511

Prime Factorization of 92496

Prime factors of 92496 are 2, 3, 41, 47. Prime factorization of 92496 in exponential form is:

92496 = 24 × 31 × 411 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 92488 and 92496.

LCM(92488,92496) = 24 × 111 × 10511 × 31 × 411 × 471
LCM(92488,92496) = 1069346256