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What is the Least Common Multiple of 93238 and 93257?

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 93238 and 93257 is 8695096166.

LCM(93238,93257) = 8695096166

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Least Common Multiple of 93238 and 93257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93238 and 93257, than apply into the LCM equation.

GCF(93238,93257) = 1
LCM(93238,93257) = ( 93238 × 93257) / 1
LCM(93238,93257) = 8695096166 / 1
LCM(93238,93257) = 8695096166

Least Common Multiple (LCM) of 93238 and 93257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93238 and 93257. First we will calculate the prime factors of 93238 and 93257.

Prime Factorization of 93238

Prime factors of 93238 are 2, 46619. Prime factorization of 93238 in exponential form is:

93238 = 21 × 466191

Prime Factorization of 93257

Prime factors of 93257 are 93257. Prime factorization of 93257 in exponential form is:

93257 = 932571

Now multiplying the highest exponent prime factors to calculate the LCM of 93238 and 93257.

LCM(93238,93257) = 21 × 466191 × 932571
LCM(93238,93257) = 8695096166