What is the Least Common Multiple of 68824 and 68844?

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 68824 and 68844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68824 and 68844, than apply into the LCM equation.

GCF(68824,68844) = 4
LCM(68824,68844) = ( 68824 × 68844) / 4
LCM(68824,68844) = 4738119456 / 4
LCM(68824,68844) = 1184529864

Least Common Multiple (LCM) of 68824 and 68844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68824 and 68844. First we will calculate the prime factors of 68824 and 68844.

Prime Factorization of 68824

Prime Factorization of 68844

Now multiplying the highest exponent prime factors to calculate the LCM of 68824 and 68844.

LCM(68824,68844) = 2³ × 7¹ × 1229¹ × 3¹ × 5737¹
LCM(68824,68844) = 1184529864