What is the Least Common Multiple of 20728 and 20732?

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 20732 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 20732, than apply into the LCM equation.

GCF(20728,20732) = 4
LCM(20728,20732) = ( 20728 × 20732) / 4
LCM(20728,20732) = 429732896 / 4
LCM(20728,20732) = 107433224

Least Common Multiple (LCM) of 20728 and 20732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20728 and 20732. First we will calculate the prime factors of 20728 and 20732.

Prime Factorization of 20728

Prime Factorization of 20732

Now multiplying the highest exponent prime factors to calculate the LCM of 20728 and 20732.

LCM(20728,20732) = 2³ × 2591¹ × 71¹ × 73¹
LCM(20728,20732) = 107433224