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What is the Least Common Multiple of 66291 and 66309?

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 66291 and 66309 is 1465229973.

LCM(66291,66309) = 1465229973

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Least Common Multiple of 66291 and 66309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66291 and 66309, than apply into the LCM equation.

GCF(66291,66309) = 3
LCM(66291,66309) = ( 66291 × 66309) / 3
LCM(66291,66309) = 4395689919 / 3
LCM(66291,66309) = 1465229973

Least Common Multiple (LCM) of 66291 and 66309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66291 and 66309. First we will calculate the prime factors of 66291 and 66309.

Prime Factorization of 66291

Prime factors of 66291 are 3, 19, 1163. Prime factorization of 66291 in exponential form is:

66291 = 31 × 191 × 11631

Prime Factorization of 66309

Prime factors of 66309 are 3, 23, 31. Prime factorization of 66309 in exponential form is:

66309 = 31 × 231 × 312

Now multiplying the highest exponent prime factors to calculate the LCM of 66291 and 66309.

LCM(66291,66309) = 31 × 191 × 11631 × 231 × 312
LCM(66291,66309) = 1465229973