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What is the Least Common Multiple of 93266 and 93271?

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 93266 and 93271 is 8699013086.

LCM(93266,93271) = 8699013086

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Least Common Multiple of 93266 and 93271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93266 and 93271, than apply into the LCM equation.

GCF(93266,93271) = 1
LCM(93266,93271) = ( 93266 × 93271) / 1
LCM(93266,93271) = 8699013086 / 1
LCM(93266,93271) = 8699013086

Least Common Multiple (LCM) of 93266 and 93271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93266 and 93271. First we will calculate the prime factors of 93266 and 93271.

Prime Factorization of 93266

Prime factors of 93266 are 2, 46633. Prime factorization of 93266 in exponential form is:

93266 = 21 × 466331

Prime Factorization of 93271

Prime factors of 93271 are 19, 4909. Prime factorization of 93271 in exponential form is:

93271 = 191 × 49091

Now multiplying the highest exponent prime factors to calculate the LCM of 93266 and 93271.

LCM(93266,93271) = 21 × 466331 × 191 × 49091
LCM(93266,93271) = 8699013086