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What is the Least Common Multiple of 66303 and 66311?

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 66303 and 66311 is 4396618233.

LCM(66303,66311) = 4396618233

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Least Common Multiple of 66303 and 66311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66303 and 66311, than apply into the LCM equation.

GCF(66303,66311) = 1
LCM(66303,66311) = ( 66303 × 66311) / 1
LCM(66303,66311) = 4396618233 / 1
LCM(66303,66311) = 4396618233

Least Common Multiple (LCM) of 66303 and 66311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66303 and 66311. First we will calculate the prime factors of 66303 and 66311.

Prime Factorization of 66303

Prime factors of 66303 are 3, 53, 139. Prime factorization of 66303 in exponential form is:

66303 = 32 × 531 × 1391

Prime Factorization of 66311

Prime factors of 66311 are 7, 9473. Prime factorization of 66311 in exponential form is:

66311 = 71 × 94731

Now multiplying the highest exponent prime factors to calculate the LCM of 66303 and 66311.

LCM(66303,66311) = 32 × 531 × 1391 × 71 × 94731
LCM(66303,66311) = 4396618233