What is the Least Common Multiple of 33216 and 33225?

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 33216 and 33225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33216 and 33225, than apply into the LCM equation.

GCF(33216,33225) = 3
LCM(33216,33225) = ( 33216 × 33225) / 3
LCM(33216,33225) = 1103601600 / 3
LCM(33216,33225) = 367867200

Least Common Multiple (LCM) of 33216 and 33225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33216 and 33225. First we will calculate the prime factors of 33216 and 33225.

Prime Factorization of 33216

Prime Factorization of 33225

Now multiplying the highest exponent prime factors to calculate the LCM of 33216 and 33225.

LCM(33216,33225) = 2⁶ × 3¹ × 173¹ × 5² × 443¹
LCM(33216,33225) = 367867200