What is the Least Common Multiple of 30824 and 30838?

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 30824 and 30838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30824 and 30838, than apply into the LCM equation.

GCF(30824,30838) = 2
LCM(30824,30838) = ( 30824 × 30838) / 2
LCM(30824,30838) = 950550512 / 2
LCM(30824,30838) = 475275256

Least Common Multiple (LCM) of 30824 and 30838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30824 and 30838. First we will calculate the prime factors of 30824 and 30838.

Prime Factorization of 30824

Prime Factorization of 30838

Now multiplying the highest exponent prime factors to calculate the LCM of 30824 and 30838.

LCM(30824,30838) = 2³ × 3853¹ × 17¹ × 907¹
LCM(30824,30838) = 475275256