What is the Least Common Multiple of 22734 and 22742?

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 22734 and 22742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22734 and 22742, than apply into the LCM equation.

GCF(22734,22742) = 2
LCM(22734,22742) = ( 22734 × 22742) / 2
LCM(22734,22742) = 517016628 / 2
LCM(22734,22742) = 258508314

Least Common Multiple (LCM) of 22734 and 22742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22734 and 22742. First we will calculate the prime factors of 22734 and 22742.

Prime Factorization of 22734

Prime Factorization of 22742

Now multiplying the highest exponent prime factors to calculate the LCM of 22734 and 22742.

LCM(22734,22742) = 2¹ × 3³ × 421¹ × 83¹ × 137¹
LCM(22734,22742) = 258508314