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What is the Least Common Multiple of 9387 and 9396?

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 9387 and 9396 is 9800028.

LCM(9387,9396) = 9800028

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Least Common Multiple of 9387 and 9396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9387 and 9396, than apply into the LCM equation.

GCF(9387,9396) = 9
LCM(9387,9396) = ( 9387 × 9396) / 9
LCM(9387,9396) = 88200252 / 9
LCM(9387,9396) = 9800028

Least Common Multiple (LCM) of 9387 and 9396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9387 and 9396. First we will calculate the prime factors of 9387 and 9396.

Prime Factorization of 9387

Prime factors of 9387 are 3, 7, 149. Prime factorization of 9387 in exponential form is:

9387 = 32 × 71 × 1491

Prime Factorization of 9396

Prime factors of 9396 are 2, 3, 29. Prime factorization of 9396 in exponential form is:

9396 = 22 × 34 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 9387 and 9396.

LCM(9387,9396) = 34 × 71 × 1491 × 22 × 291
LCM(9387,9396) = 9800028