What is the Least Common Multiple of 22770 and 22774?

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 22774 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 22774, than apply into the LCM equation.

GCF(22770,22774) = 2
LCM(22770,22774) = ( 22770 × 22774) / 2
LCM(22770,22774) = 518563980 / 2
LCM(22770,22774) = 259281990

Least Common Multiple (LCM) of 22770 and 22774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22770 and 22774. First we will calculate the prime factors of 22770 and 22774.

Prime Factorization of 22770

Prime Factorization of 22774

Now multiplying the highest exponent prime factors to calculate the LCM of 22770 and 22774.

LCM(22770,22774) = 2¹ × 3² × 5¹ × 11¹ × 23¹ × 59¹ × 193¹
LCM(22770,22774) = 259281990