What is the Least Common Multiple of 29728 and 29742?

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 29728 and 29742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29728 and 29742, than apply into the LCM equation.

GCF(29728,29742) = 2
LCM(29728,29742) = ( 29728 × 29742) / 2
LCM(29728,29742) = 884170176 / 2
LCM(29728,29742) = 442085088

Least Common Multiple (LCM) of 29728 and 29742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29728 and 29742. First we will calculate the prime factors of 29728 and 29742.

Prime Factorization of 29728

Prime Factorization of 29742

Now multiplying the highest exponent prime factors to calculate the LCM of 29728 and 29742.

LCM(29728,29742) = 2⁵ × 929¹ × 3¹ × 4957¹
LCM(29728,29742) = 442085088