What is the Least Common Multiple of 12324 and 12338?

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 12324 and 12338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12324 and 12338, than apply into the LCM equation.

GCF(12324,12338) = 2
LCM(12324,12338) = ( 12324 × 12338) / 2
LCM(12324,12338) = 152053512 / 2
LCM(12324,12338) = 76026756

Least Common Multiple (LCM) of 12324 and 12338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12324 and 12338. First we will calculate the prime factors of 12324 and 12338.

Prime Factorization of 12324

Prime Factorization of 12338

Now multiplying the highest exponent prime factors to calculate the LCM of 12324 and 12338.

LCM(12324,12338) = 2² × 3¹ × 13¹ × 79¹ × 31¹ × 199¹
LCM(12324,12338) = 76026756