What is the Least Common Multiple of 83371 and 83390?

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 83371 and 83390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83371 and 83390, than apply into the LCM equation.

GCF(83371,83390) = 1
LCM(83371,83390) = ( 83371 × 83390) / 1
LCM(83371,83390) = 6952307690 / 1
LCM(83371,83390) = 6952307690

Least Common Multiple (LCM) of 83371 and 83390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83371 and 83390. First we will calculate the prime factors of 83371 and 83390.

Prime Factorization of 83371

Prime Factorization of 83390

Now multiplying the highest exponent prime factors to calculate the LCM of 83371 and 83390.

LCM(83371,83390) = 263¹ × 317¹ × 2¹ × 5¹ × 31¹ × 269¹
LCM(83371,83390) = 6952307690