What is the Least Common Multiple of 22068 and 22077?

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 22068 and 22077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22068 and 22077, than apply into the LCM equation.

GCF(22068,22077) = 9
LCM(22068,22077) = ( 22068 × 22077) / 9
LCM(22068,22077) = 487195236 / 9
LCM(22068,22077) = 54132804

Least Common Multiple (LCM) of 22068 and 22077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22068 and 22077. First we will calculate the prime factors of 22068 and 22077.

Prime Factorization of 22068

Prime Factorization of 22077

Now multiplying the highest exponent prime factors to calculate the LCM of 22068 and 22077.

LCM(22068,22077) = 2² × 3² × 613¹ × 11¹ × 223¹
LCM(22068,22077) = 54132804