What is the Least Common Multiple of 22770 and 22789?

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 22789 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 22789, than apply into the LCM equation.

GCF(22770,22789) = 1
LCM(22770,22789) = ( 22770 × 22789) / 1
LCM(22770,22789) = 518905530 / 1
LCM(22770,22789) = 518905530

Least Common Multiple (LCM) of 22770 and 22789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22770 and 22789. First we will calculate the prime factors of 22770 and 22789.

Prime Factorization of 22770

Prime Factorization of 22789

Now multiplying the highest exponent prime factors to calculate the LCM of 22770 and 22789.

LCM(22770,22789) = 2¹ × 3² × 5¹ × 11¹ × 23¹ × 13¹ × 1753¹
LCM(22770,22789) = 518905530