What is the Least Common Multiple of 22770 and 22785?

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 22785 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 22785, than apply into the LCM equation.

GCF(22770,22785) = 15
LCM(22770,22785) = ( 22770 × 22785) / 15
LCM(22770,22785) = 518814450 / 15
LCM(22770,22785) = 34587630

Least Common Multiple (LCM) of 22770 and 22785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22770 and 22785. First we will calculate the prime factors of 22770 and 22785.

Prime Factorization of 22770

Prime Factorization of 22785

Now multiplying the highest exponent prime factors to calculate the LCM of 22770 and 22785.

LCM(22770,22785) = 2¹ × 3² × 5¹ × 11¹ × 23¹ × 7² × 31¹
LCM(22770,22785) = 34587630