What is the Least Common Multiple of 33132 and 33149?

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 33132 and 33149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33132 and 33149, than apply into the LCM equation.

GCF(33132,33149) = 1
LCM(33132,33149) = ( 33132 × 33149) / 1
LCM(33132,33149) = 1098292668 / 1
LCM(33132,33149) = 1098292668

Least Common Multiple (LCM) of 33132 and 33149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33132 and 33149. First we will calculate the prime factors of 33132 and 33149.

Prime Factorization of 33132

Prime Factorization of 33149

Now multiplying the highest exponent prime factors to calculate the LCM of 33132 and 33149.

LCM(33132,33149) = 2² × 3¹ × 11¹ × 251¹ × 33149¹
LCM(33132,33149) = 1098292668