What is the Least Common Multiple of 33054 and 33060?

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 33054 and 33060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33054 and 33060, than apply into the LCM equation.

GCF(33054,33060) = 6
LCM(33054,33060) = ( 33054 × 33060) / 6
LCM(33054,33060) = 1092765240 / 6
LCM(33054,33060) = 182127540

Least Common Multiple (LCM) of 33054 and 33060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33054 and 33060. First we will calculate the prime factors of 33054 and 33060.

Prime Factorization of 33054

Prime Factorization of 33060

Now multiplying the highest exponent prime factors to calculate the LCM of 33054 and 33060.

LCM(33054,33060) = 2² × 3¹ × 7¹ × 787¹ × 5¹ × 19¹ × 29¹
LCM(33054,33060) = 182127540