What is the Least Common Multiple of 20710 and 20728?

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 20710 and 20728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20710 and 20728, than apply into the LCM equation.

GCF(20710,20728) = 2
LCM(20710,20728) = ( 20710 × 20728) / 2
LCM(20710,20728) = 429276880 / 2
LCM(20710,20728) = 214638440

Least Common Multiple (LCM) of 20710 and 20728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20710 and 20728. First we will calculate the prime factors of 20710 and 20728.

Prime Factorization of 20710

Prime Factorization of 20728

Now multiplying the highest exponent prime factors to calculate the LCM of 20710 and 20728.

LCM(20710,20728) = 2³ × 5¹ × 19¹ × 109¹ × 2591¹
LCM(20710,20728) = 214638440