What is the Least Common Multiple of 33150 and 33170?

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 33150 and 33170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33150 and 33170, than apply into the LCM equation.

GCF(33150,33170) = 10
LCM(33150,33170) = ( 33150 × 33170) / 10
LCM(33150,33170) = 1099585500 / 10
LCM(33150,33170) = 109958550

Least Common Multiple (LCM) of 33150 and 33170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33150 and 33170. First we will calculate the prime factors of 33150 and 33170.

Prime Factorization of 33150

Prime Factorization of 33170

Now multiplying the highest exponent prime factors to calculate the LCM of 33150 and 33170.

LCM(33150,33170) = 2¹ × 3¹ × 5² × 13¹ × 17¹ × 31¹ × 107¹
LCM(33150,33170) = 109958550