What is the Least Common Multiple of 19709 and 19728?

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 19709 and 19728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19709 and 19728, than apply into the LCM equation.

GCF(19709,19728) = 1
LCM(19709,19728) = ( 19709 × 19728) / 1
LCM(19709,19728) = 388819152 / 1
LCM(19709,19728) = 388819152

Least Common Multiple (LCM) of 19709 and 19728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19709 and 19728. First we will calculate the prime factors of 19709 and 19728.

Prime Factorization of 19709

Prime Factorization of 19728

Now multiplying the highest exponent prime factors to calculate the LCM of 19709 and 19728.

LCM(19709,19728) = 19709¹ × 2⁴ × 3² × 137¹
LCM(19709,19728) = 388819152