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What is the Least Common Multiple of 66584 and 66589?

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 66584 and 66589 is 4433761976.

LCM(66584,66589) = 4433761976

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Least Common Multiple of 66584 and 66589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66584 and 66589, than apply into the LCM equation.

GCF(66584,66589) = 1
LCM(66584,66589) = ( 66584 × 66589) / 1
LCM(66584,66589) = 4433761976 / 1
LCM(66584,66589) = 4433761976

Least Common Multiple (LCM) of 66584 and 66589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66584 and 66589. First we will calculate the prime factors of 66584 and 66589.

Prime Factorization of 66584

Prime factors of 66584 are 2, 7, 29, 41. Prime factorization of 66584 in exponential form is:

66584 = 23 × 71 × 291 × 411

Prime Factorization of 66589

Prime factors of 66589 are 17, 3917. Prime factorization of 66589 in exponential form is:

66589 = 171 × 39171

Now multiplying the highest exponent prime factors to calculate the LCM of 66584 and 66589.

LCM(66584,66589) = 23 × 71 × 291 × 411 × 171 × 39171
LCM(66584,66589) = 4433761976