What is the Least Common Multiple of 20728 and 20742?

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 20728 and 20742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20728 and 20742, than apply into the LCM equation.

GCF(20728,20742) = 2
LCM(20728,20742) = ( 20728 × 20742) / 2
LCM(20728,20742) = 429940176 / 2
LCM(20728,20742) = 214970088

Least Common Multiple (LCM) of 20728 and 20742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20728 and 20742. First we will calculate the prime factors of 20728 and 20742.

Prime Factorization of 20728

Prime Factorization of 20742

Now multiplying the highest exponent prime factors to calculate the LCM of 20728 and 20742.

LCM(20728,20742) = 2³ × 2591¹ × 3¹ × 3457¹
LCM(20728,20742) = 214970088