What is the Least Common Multiple of 83124 and 83140?

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 83124 and 83140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83124 and 83140, than apply into the LCM equation.

GCF(83124,83140) = 4
LCM(83124,83140) = ( 83124 × 83140) / 4
LCM(83124,83140) = 6910929360 / 4
LCM(83124,83140) = 1727732340

Least Common Multiple (LCM) of 83124 and 83140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83124 and 83140. First we will calculate the prime factors of 83124 and 83140.

Prime Factorization of 83124

Prime Factorization of 83140

Now multiplying the highest exponent prime factors to calculate the LCM of 83124 and 83140.

LCM(83124,83140) = 2² × 3² × 2309¹ × 5¹ × 4157¹
LCM(83124,83140) = 1727732340