What is the Least Common Multiple of 29928 and 29943?

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 29943 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 29943, than apply into the LCM equation.

GCF(29928,29943) = 3
LCM(29928,29943) = ( 29928 × 29943) / 3
LCM(29928,29943) = 896134104 / 3
LCM(29928,29943) = 298711368

Least Common Multiple (LCM) of 29928 and 29943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29928 and 29943. First we will calculate the prime factors of 29928 and 29943.

Prime Factorization of 29928

Prime Factorization of 29943

Now multiplying the highest exponent prime factors to calculate the LCM of 29928 and 29943.

LCM(29928,29943) = 2³ × 3³ × 29¹ × 43¹ × 1109¹
LCM(29928,29943) = 298711368