What is the Least Common Multiple of 22770 and 22788?

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 22770 and 22788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22770 and 22788, than apply into the LCM equation.

GCF(22770,22788) = 18
LCM(22770,22788) = ( 22770 × 22788) / 18
LCM(22770,22788) = 518882760 / 18
LCM(22770,22788) = 28826820

Least Common Multiple (LCM) of 22770 and 22788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22770 and 22788. First we will calculate the prime factors of 22770 and 22788.

Prime Factorization of 22770

Prime Factorization of 22788

Now multiplying the highest exponent prime factors to calculate the LCM of 22770 and 22788.

LCM(22770,22788) = 2² × 3³ × 5¹ × 11¹ × 23¹ × 211¹
LCM(22770,22788) = 28826820