What is the Least Common Multiple of 19728 and 19736?

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 19728 and 19736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19728 and 19736, than apply into the LCM equation.

GCF(19728,19736) = 8
LCM(19728,19736) = ( 19728 × 19736) / 8
LCM(19728,19736) = 389351808 / 8
LCM(19728,19736) = 48668976

Least Common Multiple (LCM) of 19728 and 19736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19728 and 19736. First we will calculate the prime factors of 19728 and 19736.

Prime Factorization of 19728

Prime Factorization of 19736

Now multiplying the highest exponent prime factors to calculate the LCM of 19728 and 19736.

LCM(19728,19736) = 2⁴ × 3² × 137¹ × 2467¹
LCM(19728,19736) = 48668976