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What is the Least Common Multiple of 6379 and 6396?

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 6379 and 6396 is 40800084.

LCM(6379,6396) = 40800084

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Least Common Multiple of 6379 and 6396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6379 and 6396, than apply into the LCM equation.

GCF(6379,6396) = 1
LCM(6379,6396) = ( 6379 × 6396) / 1
LCM(6379,6396) = 40800084 / 1
LCM(6379,6396) = 40800084

Least Common Multiple (LCM) of 6379 and 6396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6379 and 6396. First we will calculate the prime factors of 6379 and 6396.

Prime Factorization of 6379

Prime factors of 6379 are 6379. Prime factorization of 6379 in exponential form is:

6379 = 63791

Prime Factorization of 6396

Prime factors of 6396 are 2, 3, 13, 41. Prime factorization of 6396 in exponential form is:

6396 = 22 × 31 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 6379 and 6396.

LCM(6379,6396) = 63791 × 22 × 31 × 131 × 411
LCM(6379,6396) = 40800084