What is the Least Common Multiple of 22785 and 22796?

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 22785 and 22796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22785 and 22796, than apply into the LCM equation.

GCF(22785,22796) = 1
LCM(22785,22796) = ( 22785 × 22796) / 1
LCM(22785,22796) = 519406860 / 1
LCM(22785,22796) = 519406860

Least Common Multiple (LCM) of 22785 and 22796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22785 and 22796. First we will calculate the prime factors of 22785 and 22796.

Prime Factorization of 22785

Prime Factorization of 22796

Now multiplying the highest exponent prime factors to calculate the LCM of 22785 and 22796.

LCM(22785,22796) = 3¹ × 5¹ × 7² × 31¹ × 2² × 41¹ × 139¹
LCM(22785,22796) = 519406860