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What is the Least Common Multiple of 66336 and 66341?

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 66336 and 66341 is 4400796576.

LCM(66336,66341) = 4400796576

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Least Common Multiple of 66336 and 66341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66336 and 66341, than apply into the LCM equation.

GCF(66336,66341) = 1
LCM(66336,66341) = ( 66336 × 66341) / 1
LCM(66336,66341) = 4400796576 / 1
LCM(66336,66341) = 4400796576

Least Common Multiple (LCM) of 66336 and 66341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66336 and 66341. First we will calculate the prime factors of 66336 and 66341.

Prime Factorization of 66336

Prime factors of 66336 are 2, 3, 691. Prime factorization of 66336 in exponential form is:

66336 = 25 × 31 × 6911

Prime Factorization of 66341

Prime factors of 66341 are 11, 37, 163. Prime factorization of 66341 in exponential form is:

66341 = 111 × 371 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 66336 and 66341.

LCM(66336,66341) = 25 × 31 × 6911 × 111 × 371 × 1631
LCM(66336,66341) = 4400796576