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What is the Least Common Multiple of 66317 and 66333?

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 66317 and 66333 is 4399005561.

LCM(66317,66333) = 4399005561

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Least Common Multiple of 66317 and 66333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66317 and 66333, than apply into the LCM equation.

GCF(66317,66333) = 1
LCM(66317,66333) = ( 66317 × 66333) / 1
LCM(66317,66333) = 4399005561 / 1
LCM(66317,66333) = 4399005561

Least Common Multiple (LCM) of 66317 and 66333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66317 and 66333. First we will calculate the prime factors of 66317 and 66333.

Prime Factorization of 66317

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

66317 = 171 × 471 × 831

Prime Factorization of 66333

Prime factors of 66333 are 3, 22111. Prime factorization of 66333 in exponential form is:

66333 = 31 × 221111

Now multiplying the highest exponent prime factors to calculate the LCM of 66317 and 66333.

LCM(66317,66333) = 171 × 471 × 831 × 31 × 221111
LCM(66317,66333) = 4399005561