What is the Least Common Multiple of 33278 and 33298?

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 33278 and 33298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33278 and 33298, than apply into the LCM equation.

GCF(33278,33298) = 2
LCM(33278,33298) = ( 33278 × 33298) / 2
LCM(33278,33298) = 1108090844 / 2
LCM(33278,33298) = 554045422

Least Common Multiple (LCM) of 33278 and 33298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33278 and 33298. First we will calculate the prime factors of 33278 and 33298.

Prime Factorization of 33278

Prime Factorization of 33298

Now multiplying the highest exponent prime factors to calculate the LCM of 33278 and 33298.

LCM(33278,33298) = 2¹ × 7¹ × 2377¹ × 16649¹
LCM(33278,33298) = 554045422