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What is the Least Common Multiple of 66378 and 66396?

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 66378 and 66396 is 734538948.

LCM(66378,66396) = 734538948

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Least Common Multiple of 66378 and 66396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66378 and 66396, than apply into the LCM equation.

GCF(66378,66396) = 6
LCM(66378,66396) = ( 66378 × 66396) / 6
LCM(66378,66396) = 4407233688 / 6
LCM(66378,66396) = 734538948

Least Common Multiple (LCM) of 66378 and 66396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66378 and 66396. First we will calculate the prime factors of 66378 and 66396.

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

Prime Factorization of 66396

Prime factors of 66396 are 2, 3, 11, 503. Prime factorization of 66396 in exponential form is:

66396 = 22 × 31 × 111 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 66378 and 66396.

LCM(66378,66396) = 22 × 31 × 131 × 231 × 371 × 111 × 5031
LCM(66378,66396) = 734538948