What is the Least Common Multiple of 33210 and 33214?

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 33210 and 33214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33210 and 33214, than apply into the LCM equation.

GCF(33210,33214) = 2
LCM(33210,33214) = ( 33210 × 33214) / 2
LCM(33210,33214) = 1103036940 / 2
LCM(33210,33214) = 551518470

Least Common Multiple (LCM) of 33210 and 33214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33210 and 33214. First we will calculate the prime factors of 33210 and 33214.

Prime Factorization of 33210

Prime Factorization of 33214

Now multiplying the highest exponent prime factors to calculate the LCM of 33210 and 33214.

LCM(33210,33214) = 2¹ × 3⁴ × 5¹ × 41¹ × 16607¹
LCM(33210,33214) = 551518470