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What is the Least Common Multiple of 93240 and 93256?

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 93240 and 93256 is 1086898680.

LCM(93240,93256) = 1086898680

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Least Common Multiple of 93240 and 93256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93240 and 93256, than apply into the LCM equation.

GCF(93240,93256) = 8
LCM(93240,93256) = ( 93240 × 93256) / 8
LCM(93240,93256) = 8695189440 / 8
LCM(93240,93256) = 1086898680

Least Common Multiple (LCM) of 93240 and 93256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93240 and 93256. First we will calculate the prime factors of 93240 and 93256.

Prime Factorization of 93240

Prime factors of 93240 are 2, 3, 5, 7, 37. Prime factorization of 93240 in exponential form is:

93240 = 23 × 32 × 51 × 71 × 371

Prime Factorization of 93256

Prime factors of 93256 are 2, 11657. Prime factorization of 93256 in exponential form is:

93256 = 23 × 116571

Now multiplying the highest exponent prime factors to calculate the LCM of 93240 and 93256.

LCM(93240,93256) = 23 × 32 × 51 × 71 × 371 × 116571
LCM(93240,93256) = 1086898680