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What is the Least Common Multiple of 8585 and 8590?

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 8585 and 8590 is 14749030.

LCM(8585,8590) = 14749030

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Least Common Multiple of 8585 and 8590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8585 and 8590, than apply into the LCM equation.

GCF(8585,8590) = 5
LCM(8585,8590) = ( 8585 × 8590) / 5
LCM(8585,8590) = 73745150 / 5
LCM(8585,8590) = 14749030

Least Common Multiple (LCM) of 8585 and 8590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8585 and 8590. First we will calculate the prime factors of 8585 and 8590.

Prime Factorization of 8585

Prime factors of 8585 are 5, 17, 101. Prime factorization of 8585 in exponential form is:

8585 = 51 × 171 × 1011

Prime Factorization of 8590

Prime factors of 8590 are 2, 5, 859. Prime factorization of 8590 in exponential form is:

8590 = 21 × 51 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 8585 and 8590.

LCM(8585,8590) = 51 × 171 × 1011 × 21 × 8591
LCM(8585,8590) = 14749030