What is the Least Common Multiple of 33268 and 33286?

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 33268 and 33286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33268 and 33286, than apply into the LCM equation.

GCF(33268,33286) = 2
LCM(33268,33286) = ( 33268 × 33286) / 2
LCM(33268,33286) = 1107358648 / 2
LCM(33268,33286) = 553679324

Least Common Multiple (LCM) of 33268 and 33286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33268 and 33286. First we will calculate the prime factors of 33268 and 33286.

Prime Factorization of 33268

Prime Factorization of 33286

Now multiplying the highest exponent prime factors to calculate the LCM of 33268 and 33286.

LCM(33268,33286) = 2² × 8317¹ × 11¹ × 17¹ × 89¹
LCM(33268,33286) = 553679324