What is the Least Common Multiple of 55074 and 55089?

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 55074 and 55089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55074 and 55089, than apply into the LCM equation.

GCF(55074,55089) = 3
LCM(55074,55089) = ( 55074 × 55089) / 3
LCM(55074,55089) = 3033971586 / 3
LCM(55074,55089) = 1011323862

Least Common Multiple (LCM) of 55074 and 55089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55074 and 55089. First we will calculate the prime factors of 55074 and 55089.

Prime Factorization of 55074

Prime Factorization of 55089

Now multiplying the highest exponent prime factors to calculate the LCM of 55074 and 55089.

LCM(55074,55089) = 2¹ × 3² × 67¹ × 137¹ × 6121¹
LCM(55074,55089) = 1011323862