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What is the Least Common Multiple of 9378 and 9382?

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 9378 and 9382 is 43992198.

LCM(9378,9382) = 43992198

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Least Common Multiple of 9378 and 9382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9378 and 9382, than apply into the LCM equation.

GCF(9378,9382) = 2
LCM(9378,9382) = ( 9378 × 9382) / 2
LCM(9378,9382) = 87984396 / 2
LCM(9378,9382) = 43992198

Least Common Multiple (LCM) of 9378 and 9382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9378 and 9382. First we will calculate the prime factors of 9378 and 9382.

Prime Factorization of 9378

Prime factors of 9378 are 2, 3, 521. Prime factorization of 9378 in exponential form is:

9378 = 21 × 32 × 5211

Prime Factorization of 9382

Prime factors of 9382 are 2, 4691. Prime factorization of 9382 in exponential form is:

9382 = 21 × 46911

Now multiplying the highest exponent prime factors to calculate the LCM of 9378 and 9382.

LCM(9378,9382) = 21 × 32 × 5211 × 46911
LCM(9378,9382) = 43992198