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What is the Least Common Multiple of 66327 and 66331?

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 66327 and 66331 is 4399536237.

LCM(66327,66331) = 4399536237

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Least Common Multiple of 66327 and 66331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66327 and 66331, than apply into the LCM equation.

GCF(66327,66331) = 1
LCM(66327,66331) = ( 66327 × 66331) / 1
LCM(66327,66331) = 4399536237 / 1
LCM(66327,66331) = 4399536237

Least Common Multiple (LCM) of 66327 and 66331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66327 and 66331. First we will calculate the prime factors of 66327 and 66331.

Prime Factorization of 66327

Prime factors of 66327 are 3, 22109. Prime factorization of 66327 in exponential form is:

66327 = 31 × 221091

Prime Factorization of 66331

Prime factors of 66331 are 113, 587. Prime factorization of 66331 in exponential form is:

66331 = 1131 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 66327 and 66331.

LCM(66327,66331) = 31 × 221091 × 1131 × 5871
LCM(66327,66331) = 4399536237