What is the Least Common Multiple of 12351 and 12369?

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 12351 and 12369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12351 and 12369, than apply into the LCM equation.

GCF(12351,12369) = 3
LCM(12351,12369) = ( 12351 × 12369) / 3
LCM(12351,12369) = 152769519 / 3
LCM(12351,12369) = 50923173

Least Common Multiple (LCM) of 12351 and 12369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12351 and 12369. First we will calculate the prime factors of 12351 and 12369.

Prime Factorization of 12351

Prime Factorization of 12369

Now multiplying the highest exponent prime factors to calculate the LCM of 12351 and 12369.

LCM(12351,12369) = 3¹ × 23¹ × 179¹ × 7¹ × 19¹ × 31¹
LCM(12351,12369) = 50923173