What is the Least Common Multiple of 22929 and 22943?

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 22929 and 22943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22929 and 22943, than apply into the LCM equation.

GCF(22929,22943) = 1
LCM(22929,22943) = ( 22929 × 22943) / 1
LCM(22929,22943) = 526060047 / 1
LCM(22929,22943) = 526060047

Least Common Multiple (LCM) of 22929 and 22943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22929 and 22943. First we will calculate the prime factors of 22929 and 22943.

Prime Factorization of 22929

Prime Factorization of 22943

Now multiplying the highest exponent prime factors to calculate the LCM of 22929 and 22943.

LCM(22929,22943) = 3¹ × 7643¹ × 22943¹
LCM(22929,22943) = 526060047