What is the Least Common Multiple of 68832 and 68838?

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 68832 and 68838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68832 and 68838, than apply into the LCM equation.

GCF(68832,68838) = 6
LCM(68832,68838) = ( 68832 × 68838) / 6
LCM(68832,68838) = 4738257216 / 6
LCM(68832,68838) = 789709536

Least Common Multiple (LCM) of 68832 and 68838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68832 and 68838. First we will calculate the prime factors of 68832 and 68838.

Prime Factorization of 68832

Prime Factorization of 68838

Now multiplying the highest exponent prime factors to calculate the LCM of 68832 and 68838.

LCM(68832,68838) = 2⁵ × 3² × 239¹ × 7¹ × 11¹ × 149¹
LCM(68832,68838) = 789709536