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What is the Least Common Multiple of 93085 and 93098?

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 93085 and 93098 is 8666027330.

LCM(93085,93098) = 8666027330

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Least Common Multiple of 93085 and 93098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93085 and 93098, than apply into the LCM equation.

GCF(93085,93098) = 1
LCM(93085,93098) = ( 93085 × 93098) / 1
LCM(93085,93098) = 8666027330 / 1
LCM(93085,93098) = 8666027330

Least Common Multiple (LCM) of 93085 and 93098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93085 and 93098. First we will calculate the prime factors of 93085 and 93098.

Prime Factorization of 93085

Prime factors of 93085 are 5, 18617. Prime factorization of 93085 in exponential form is:

93085 = 51 × 186171

Prime Factorization of 93098

Prime factors of 93098 are 2, 46549. Prime factorization of 93098 in exponential form is:

93098 = 21 × 465491

Now multiplying the highest exponent prime factors to calculate the LCM of 93085 and 93098.

LCM(93085,93098) = 51 × 186171 × 21 × 465491
LCM(93085,93098) = 8666027330