What is the Least Common Multiple of 22752 and 22770?

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 22752 and 22770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22752 and 22770, than apply into the LCM equation.

GCF(22752,22770) = 18
LCM(22752,22770) = ( 22752 × 22770) / 18
LCM(22752,22770) = 518063040 / 18
LCM(22752,22770) = 28781280

Least Common Multiple (LCM) of 22752 and 22770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22752 and 22770. First we will calculate the prime factors of 22752 and 22770.

Prime Factorization of 22752

Prime Factorization of 22770

Now multiplying the highest exponent prime factors to calculate the LCM of 22752 and 22770.

LCM(22752,22770) = 2⁵ × 3² × 79¹ × 5¹ × 11¹ × 23¹
LCM(22752,22770) = 28781280