What is the Least Common Multiple of 33178 and 33188?

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 33178 and 33188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33178 and 33188, than apply into the LCM equation.

GCF(33178,33188) = 2
LCM(33178,33188) = ( 33178 × 33188) / 2
LCM(33178,33188) = 1101111464 / 2
LCM(33178,33188) = 550555732

Least Common Multiple (LCM) of 33178 and 33188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33178 and 33188. First we will calculate the prime factors of 33178 and 33188.

Prime Factorization of 33178

Prime Factorization of 33188

Now multiplying the highest exponent prime factors to calculate the LCM of 33178 and 33188.

LCM(33178,33188) = 2² × 53¹ × 313¹ × 8297¹
LCM(33178,33188) = 550555732