What is the Least Common Multiple of 29824 and 29838?

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 29824 and 29838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29824 and 29838, than apply into the LCM equation.

GCF(29824,29838) = 2
LCM(29824,29838) = ( 29824 × 29838) / 2
LCM(29824,29838) = 889888512 / 2
LCM(29824,29838) = 444944256

Least Common Multiple (LCM) of 29824 and 29838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29824 and 29838. First we will calculate the prime factors of 29824 and 29838.

Prime Factorization of 29824

Prime Factorization of 29838

Now multiplying the highest exponent prime factors to calculate the LCM of 29824 and 29838.

LCM(29824,29838) = 2⁷ × 233¹ × 3¹ × 4973¹
LCM(29824,29838) = 444944256