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What is the Least Common Multiple of 66397 and 66405?

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 66397 and 66405 is 4409092785.

LCM(66397,66405) = 4409092785

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Least Common Multiple of 66397 and 66405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66397 and 66405, than apply into the LCM equation.

GCF(66397,66405) = 1
LCM(66397,66405) = ( 66397 × 66405) / 1
LCM(66397,66405) = 4409092785 / 1
LCM(66397,66405) = 4409092785

Least Common Multiple (LCM) of 66397 and 66405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66397 and 66405. First we will calculate the prime factors of 66397 and 66405.

Prime Factorization of 66397

Prime factors of 66397 are 67, 991. Prime factorization of 66397 in exponential form is:

66397 = 671 × 9911

Prime Factorization of 66405

Prime factors of 66405 are 3, 5, 19, 233. Prime factorization of 66405 in exponential form is:

66405 = 31 × 51 × 191 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 66397 and 66405.

LCM(66397,66405) = 671 × 9911 × 31 × 51 × 191 × 2331
LCM(66397,66405) = 4409092785