What is the Least Common Multiple of 33141 and 33150?

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 33141 and 33150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33141 and 33150, than apply into the LCM equation.

GCF(33141,33150) = 3
LCM(33141,33150) = ( 33141 × 33150) / 3
LCM(33141,33150) = 1098624150 / 3
LCM(33141,33150) = 366208050

Least Common Multiple (LCM) of 33141 and 33150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33141 and 33150. First we will calculate the prime factors of 33141 and 33150.

Prime Factorization of 33141

Prime Factorization of 33150

Now multiplying the highest exponent prime factors to calculate the LCM of 33141 and 33150.

LCM(33141,33150) = 3¹ × 11047¹ × 2¹ × 5² × 13¹ × 17¹
LCM(33141,33150) = 366208050