What is the Least Common Multiple of 83140 and 83156?

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 83140 and 83156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83140 and 83156, than apply into the LCM equation.

GCF(83140,83156) = 4
LCM(83140,83156) = ( 83140 × 83156) / 4
LCM(83140,83156) = 6913589840 / 4
LCM(83140,83156) = 1728397460

Least Common Multiple (LCM) of 83140 and 83156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83140 and 83156. First we will calculate the prime factors of 83140 and 83156.

Prime Factorization of 83140

Prime Factorization of 83156

Now multiplying the highest exponent prime factors to calculate the LCM of 83140 and 83156.

LCM(83140,83156) = 2² × 5¹ × 4157¹ × 20789¹
LCM(83140,83156) = 1728397460