What is the Least Common Multiple of 22945 and 22959?

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 22945 and 22959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22945 and 22959, than apply into the LCM equation.

GCF(22945,22959) = 1
LCM(22945,22959) = ( 22945 × 22959) / 1
LCM(22945,22959) = 526794255 / 1
LCM(22945,22959) = 526794255

Least Common Multiple (LCM) of 22945 and 22959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22945 and 22959. First we will calculate the prime factors of 22945 and 22959.

Prime Factorization of 22945

Prime Factorization of 22959

Now multiplying the highest exponent prime factors to calculate the LCM of 22945 and 22959.

LCM(22945,22959) = 5¹ × 13¹ × 353¹ × 3² × 2551¹
LCM(22945,22959) = 526794255