What is the Least Common Multiple of 12321 and 12330?

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 12321 and 12330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12321 and 12330, than apply into the LCM equation.

GCF(12321,12330) = 9
LCM(12321,12330) = ( 12321 × 12330) / 9
LCM(12321,12330) = 151917930 / 9
LCM(12321,12330) = 16879770

Least Common Multiple (LCM) of 12321 and 12330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12321 and 12330. First we will calculate the prime factors of 12321 and 12330.

Prime Factorization of 12321

Prime Factorization of 12330

Now multiplying the highest exponent prime factors to calculate the LCM of 12321 and 12330.

LCM(12321,12330) = 3² × 37² × 2¹ × 5¹ × 137¹
LCM(12321,12330) = 16879770