What is the Least Common Multiple of 33284 and 33293?

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 33284 and 33293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33284 and 33293, than apply into the LCM equation.

GCF(33284,33293) = 1
LCM(33284,33293) = ( 33284 × 33293) / 1
LCM(33284,33293) = 1108124212 / 1
LCM(33284,33293) = 1108124212

Least Common Multiple (LCM) of 33284 and 33293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33284 and 33293. First we will calculate the prime factors of 33284 and 33293.

Prime Factorization of 33284

Prime Factorization of 33293

Now multiplying the highest exponent prime factors to calculate the LCM of 33284 and 33293.

LCM(33284,33293) = 2² × 53¹ × 157¹ × 13² × 197¹
LCM(33284,33293) = 1108124212