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What is the Least Common Multiple of 66303 and 66317?

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 66317 is 4397016051.

LCM(66303,66317) = 4397016051

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Least Common Multiple of 66303 and 66317 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 66317, than apply into the LCM equation.

GCF(66303,66317) = 1
LCM(66303,66317) = ( 66303 × 66317) / 1
LCM(66303,66317) = 4397016051 / 1
LCM(66303,66317) = 4397016051

Least Common Multiple (LCM) of 66303 and 66317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66303 and 66317. First we will calculate the prime factors of 66303 and 66317.

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 66317

Prime factors of 66317 are 17, 47, 83. Prime factorization of 66317 in exponential form is:

66317 = 171 × 471 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 66303 and 66317.

LCM(66303,66317) = 32 × 531 × 1391 × 171 × 471 × 831
LCM(66303,66317) = 4397016051