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What is the Least Common Multiple of 92535 and 92544?

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 92535 and 92544 is 2854519680.

LCM(92535,92544) = 2854519680

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Least Common Multiple of 92535 and 92544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92535 and 92544, than apply into the LCM equation.

GCF(92535,92544) = 3
LCM(92535,92544) = ( 92535 × 92544) / 3
LCM(92535,92544) = 8563559040 / 3
LCM(92535,92544) = 2854519680

Least Common Multiple (LCM) of 92535 and 92544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92535 and 92544. First we will calculate the prime factors of 92535 and 92544.

Prime Factorization of 92535

Prime factors of 92535 are 3, 5, 31, 199. Prime factorization of 92535 in exponential form is:

92535 = 31 × 51 × 311 × 1991

Prime Factorization of 92544

Prime factors of 92544 are 2, 3, 241. Prime factorization of 92544 in exponential form is:

92544 = 27 × 31 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 92535 and 92544.

LCM(92535,92544) = 31 × 51 × 311 × 1991 × 27 × 2411
LCM(92535,92544) = 2854519680