What is the Least Common Multiple of 22768 and 22782?

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 22768 and 22782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22768 and 22782, than apply into the LCM equation.

GCF(22768,22782) = 2
LCM(22768,22782) = ( 22768 × 22782) / 2
LCM(22768,22782) = 518700576 / 2
LCM(22768,22782) = 259350288

Least Common Multiple (LCM) of 22768 and 22782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22768 and 22782. First we will calculate the prime factors of 22768 and 22782.

Prime Factorization of 22768

Prime Factorization of 22782

Now multiplying the highest exponent prime factors to calculate the LCM of 22768 and 22782.

LCM(22768,22782) = 2⁴ × 1423¹ × 3¹ × 3797¹
LCM(22768,22782) = 259350288