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What is the Least Common Multiple of 8376 and 8382?

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 8376 and 8382 is 11701272.

LCM(8376,8382) = 11701272

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Least Common Multiple of 8376 and 8382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8376 and 8382, than apply into the LCM equation.

GCF(8376,8382) = 6
LCM(8376,8382) = ( 8376 × 8382) / 6
LCM(8376,8382) = 70207632 / 6
LCM(8376,8382) = 11701272

Least Common Multiple (LCM) of 8376 and 8382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8376 and 8382. First we will calculate the prime factors of 8376 and 8382.

Prime Factorization of 8376

Prime factors of 8376 are 2, 3, 349. Prime factorization of 8376 in exponential form is:

8376 = 23 × 31 × 3491

Prime Factorization of 8382

Prime factors of 8382 are 2, 3, 11, 127. Prime factorization of 8382 in exponential form is:

8382 = 21 × 31 × 111 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 8376 and 8382.

LCM(8376,8382) = 23 × 31 × 3491 × 111 × 1271
LCM(8376,8382) = 11701272