What is the Least Common Multiple of 67824 and 67838?

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 67824 and 67838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67824 and 67838, than apply into the LCM equation.

GCF(67824,67838) = 2
LCM(67824,67838) = ( 67824 × 67838) / 2
LCM(67824,67838) = 4601044512 / 2
LCM(67824,67838) = 2300522256

Least Common Multiple (LCM) of 67824 and 67838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67824 and 67838. First we will calculate the prime factors of 67824 and 67838.

Prime Factorization of 67824

Prime Factorization of 67838

Now multiplying the highest exponent prime factors to calculate the LCM of 67824 and 67838.

LCM(67824,67838) = 2⁴ × 3³ × 157¹ × 107¹ × 317¹
LCM(67824,67838) = 2300522256