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What is the Least Common Multiple of 9378 and 9390?

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 9390 is 14676570.

LCM(9378,9390) = 14676570

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Least Common Multiple of 9378 and 9390 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 9390, than apply into the LCM equation.

GCF(9378,9390) = 6
LCM(9378,9390) = ( 9378 × 9390) / 6
LCM(9378,9390) = 88059420 / 6
LCM(9378,9390) = 14676570

Least Common Multiple (LCM) of 9378 and 9390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9378 and 9390. First we will calculate the prime factors of 9378 and 9390.

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 9390

Prime factors of 9390 are 2, 3, 5, 313. Prime factorization of 9390 in exponential form is:

9390 = 21 × 31 × 51 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 9378 and 9390.

LCM(9378,9390) = 21 × 32 × 5211 × 51 × 3131
LCM(9378,9390) = 14676570