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What is the Least Common Multiple of 93841 and 93858?

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 93841 and 93858 is 8807728578.

LCM(93841,93858) = 8807728578

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Least Common Multiple of 93841 and 93858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93841 and 93858, than apply into the LCM equation.

GCF(93841,93858) = 1
LCM(93841,93858) = ( 93841 × 93858) / 1
LCM(93841,93858) = 8807728578 / 1
LCM(93841,93858) = 8807728578

Least Common Multiple (LCM) of 93841 and 93858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93841 and 93858. First we will calculate the prime factors of 93841 and 93858.

Prime Factorization of 93841

Prime factors of 93841 are 11, 19, 449. Prime factorization of 93841 in exponential form is:

93841 = 111 × 191 × 4491

Prime Factorization of 93858

Prime factors of 93858 are 2, 3, 15643. Prime factorization of 93858 in exponential form is:

93858 = 21 × 31 × 156431

Now multiplying the highest exponent prime factors to calculate the LCM of 93841 and 93858.

LCM(93841,93858) = 111 × 191 × 4491 × 21 × 31 × 156431
LCM(93841,93858) = 8807728578