What is the Least Common Multiple of 22914 and 22934?

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 22914 and 22934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22914 and 22934, than apply into the LCM equation.

GCF(22914,22934) = 2
LCM(22914,22934) = ( 22914 × 22934) / 2
LCM(22914,22934) = 525509676 / 2
LCM(22914,22934) = 262754838

Least Common Multiple (LCM) of 22914 and 22934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22914 and 22934. First we will calculate the prime factors of 22914 and 22934.

Prime Factorization of 22914

Prime Factorization of 22934

Now multiplying the highest exponent prime factors to calculate the LCM of 22914 and 22934.

LCM(22914,22934) = 2¹ × 3² × 19¹ × 67¹ × 11467¹
LCM(22914,22934) = 262754838