What is the Least Common Multiple of 33768 and 33774?

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 33768 and 33774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33768 and 33774, than apply into the LCM equation.

GCF(33768,33774) = 6
LCM(33768,33774) = ( 33768 × 33774) / 6
LCM(33768,33774) = 1140480432 / 6
LCM(33768,33774) = 190080072

Least Common Multiple (LCM) of 33768 and 33774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33768 and 33774. First we will calculate the prime factors of 33768 and 33774.

Prime Factorization of 33768

Prime Factorization of 33774

Now multiplying the highest exponent prime factors to calculate the LCM of 33768 and 33774.

LCM(33768,33774) = 2³ × 3² × 7¹ × 67¹ × 13¹ × 433¹
LCM(33768,33774) = 190080072