What is the Least Common Multiple of 9321 and 9336?

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 of 9321 and 9336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9321 and 9336, than apply into the LCM equation.

GCF(9321,9336) = 3
LCM(9321,9336) = ( 9321 × 9336) / 3
LCM(9321,9336) = 87020856 / 3
LCM(9321,9336) = 29006952

Least Common Multiple (LCM) of 9321 and 9336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9321 and 9336. First we will calculate the prime factors of 9321 and 9336.

Prime Factorization of 9321

Prime Factorization of 9336

Now multiplying the highest exponent prime factors to calculate the LCM of 9321 and 9336.

LCM(9321,9336) = 3¹ × 13¹ × 239¹ × 2³ × 389¹
LCM(9321,9336) = 29006952