What is the Least Common Multiple of 12933 and 12948?

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 12933 and 12948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12933 and 12948, than apply into the LCM equation.

GCF(12933,12948) = 3
LCM(12933,12948) = ( 12933 × 12948) / 3
LCM(12933,12948) = 167456484 / 3
LCM(12933,12948) = 55818828

Least Common Multiple (LCM) of 12933 and 12948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12933 and 12948. First we will calculate the prime factors of 12933 and 12948.

Prime Factorization of 12933

Prime Factorization of 12948

Now multiplying the highest exponent prime factors to calculate the LCM of 12933 and 12948.

LCM(12933,12948) = 3³ × 479¹ × 2² × 13¹ × 83¹
LCM(12933,12948) = 55818828