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What is the Least Common Multiple of 66331 and 66342?

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 66331 and 66342 is 4400531202.

LCM(66331,66342) = 4400531202

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Least Common Multiple of 66331 and 66342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66331 and 66342, than apply into the LCM equation.

GCF(66331,66342) = 1
LCM(66331,66342) = ( 66331 × 66342) / 1
LCM(66331,66342) = 4400531202 / 1
LCM(66331,66342) = 4400531202

Least Common Multiple (LCM) of 66331 and 66342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66331 and 66342. First we will calculate the prime factors of 66331 and 66342.

Prime Factorization of 66331

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

66331 = 1131 × 5871

Prime Factorization of 66342

Prime factors of 66342 are 2, 3, 11057. Prime factorization of 66342 in exponential form is:

66342 = 21 × 31 × 110571

Now multiplying the highest exponent prime factors to calculate the LCM of 66331 and 66342.

LCM(66331,66342) = 1131 × 5871 × 21 × 31 × 110571
LCM(66331,66342) = 4400531202