What is the Least Common Multiple of 33114 and 33120?

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 33114 and 33120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33114 and 33120, than apply into the LCM equation.

GCF(33114,33120) = 6
LCM(33114,33120) = ( 33114 × 33120) / 6
LCM(33114,33120) = 1096735680 / 6
LCM(33114,33120) = 182789280

Least Common Multiple (LCM) of 33114 and 33120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33114 and 33120. First we will calculate the prime factors of 33114 and 33120.

Prime Factorization of 33114

Prime Factorization of 33120

Now multiplying the highest exponent prime factors to calculate the LCM of 33114 and 33120.

LCM(33114,33120) = 2⁵ × 3² × 5519¹ × 5¹ × 23¹
LCM(33114,33120) = 182789280