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What is the Least Common Multiple of 66085 and 66090?

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 66085 and 66090 is 873511530.

LCM(66085,66090) = 873511530

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Least Common Multiple of 66085 and 66090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66085 and 66090, than apply into the LCM equation.

GCF(66085,66090) = 5
LCM(66085,66090) = ( 66085 × 66090) / 5
LCM(66085,66090) = 4367557650 / 5
LCM(66085,66090) = 873511530

Least Common Multiple (LCM) of 66085 and 66090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66085 and 66090. First we will calculate the prime factors of 66085 and 66090.

Prime Factorization of 66085

Prime factors of 66085 are 5, 13217. Prime factorization of 66085 in exponential form is:

66085 = 51 × 132171

Prime Factorization of 66090

Prime factors of 66090 are 2, 3, 5, 2203. Prime factorization of 66090 in exponential form is:

66090 = 21 × 31 × 51 × 22031

Now multiplying the highest exponent prime factors to calculate the LCM of 66085 and 66090.

LCM(66085,66090) = 51 × 132171 × 21 × 31 × 22031
LCM(66085,66090) = 873511530