What is the Least Common Multiple of 22754 and 22768?

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 22754 and 22768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22754 and 22768, than apply into the LCM equation.

GCF(22754,22768) = 2
LCM(22754,22768) = ( 22754 × 22768) / 2
LCM(22754,22768) = 518063072 / 2
LCM(22754,22768) = 259031536

Least Common Multiple (LCM) of 22754 and 22768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22754 and 22768. First we will calculate the prime factors of 22754 and 22768.

Prime Factorization of 22754

Prime Factorization of 22768

Now multiplying the highest exponent prime factors to calculate the LCM of 22754 and 22768.

LCM(22754,22768) = 2⁴ × 31¹ × 367¹ × 1423¹
LCM(22754,22768) = 259031536