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What is the Least Common Multiple of 66359 and 66378?

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 66359 and 66378 is 4404777702.

LCM(66359,66378) = 4404777702

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Least Common Multiple of 66359 and 66378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66359 and 66378, than apply into the LCM equation.

GCF(66359,66378) = 1
LCM(66359,66378) = ( 66359 × 66378) / 1
LCM(66359,66378) = 4404777702 / 1
LCM(66359,66378) = 4404777702

Least Common Multiple (LCM) of 66359 and 66378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66359 and 66378. First we will calculate the prime factors of 66359 and 66378.

Prime Factorization of 66359

Prime factors of 66359 are 66359. Prime factorization of 66359 in exponential form is:

66359 = 663591

Prime Factorization of 66378

Prime factors of 66378 are 2, 3, 13, 23, 37. Prime factorization of 66378 in exponential form is:

66378 = 21 × 31 × 131 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 66359 and 66378.

LCM(66359,66378) = 663591 × 21 × 31 × 131 × 231 × 371
LCM(66359,66378) = 4404777702