What is the Least Common Multiple of 72824 and 72838?

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 72824 and 72838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72824 and 72838, than apply into the LCM equation.

GCF(72824,72838) = 2
LCM(72824,72838) = ( 72824 × 72838) / 2
LCM(72824,72838) = 5304354512 / 2
LCM(72824,72838) = 2652177256

Least Common Multiple (LCM) of 72824 and 72838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72824 and 72838. First we will calculate the prime factors of 72824 and 72838.

Prime Factorization of 72824

Prime Factorization of 72838

Now multiplying the highest exponent prime factors to calculate the LCM of 72824 and 72838.

LCM(72824,72838) = 2³ × 9103¹ × 79¹ × 461¹
LCM(72824,72838) = 2652177256