What is the Least Common Multiple of 67839 and 67844?

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 67839 and 67844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67839 and 67844, than apply into the LCM equation.

GCF(67839,67844) = 1
LCM(67839,67844) = ( 67839 × 67844) / 1
LCM(67839,67844) = 4602469116 / 1
LCM(67839,67844) = 4602469116

Least Common Multiple (LCM) of 67839 and 67844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67839 and 67844. First we will calculate the prime factors of 67839 and 67844.

Prime Factorization of 67839

Prime Factorization of 67844

Now multiplying the highest exponent prime factors to calculate the LCM of 67839 and 67844.

LCM(67839,67844) = 3¹ × 22613¹ × 2² × 7¹ × 2423¹
LCM(67839,67844) = 4602469116