What is the Least Common Multiple of 29928 and 29939?

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 29928 and 29939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29928 and 29939, than apply into the LCM equation.

GCF(29928,29939) = 1
LCM(29928,29939) = ( 29928 × 29939) / 1
LCM(29928,29939) = 896014392 / 1
LCM(29928,29939) = 896014392

Least Common Multiple (LCM) of 29928 and 29939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29928 and 29939. First we will calculate the prime factors of 29928 and 29939.

Prime Factorization of 29928

Prime Factorization of 29939

Now multiplying the highest exponent prime factors to calculate the LCM of 29928 and 29939.

LCM(29928,29939) = 2³ × 3¹ × 29¹ × 43¹ × 7² × 13¹ × 47¹
LCM(29928,29939) = 896014392