What is the Least Common Multiple of 29728 and 29733?

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 29733 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 29733, than apply into the LCM equation.

GCF(29728,29733) = 1
LCM(29728,29733) = ( 29728 × 29733) / 1
LCM(29728,29733) = 883902624 / 1
LCM(29728,29733) = 883902624

Least Common Multiple (LCM) of 29728 and 29733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29728 and 29733. First we will calculate the prime factors of 29728 and 29733.

Prime Factorization of 29728

Prime Factorization of 29733

Now multiplying the highest exponent prime factors to calculate the LCM of 29728 and 29733.

LCM(29728,29733) = 2⁵ × 929¹ × 3¹ × 11¹ × 17¹ × 53¹
LCM(29728,29733) = 883902624