What is the Least Common Multiple of 83155 and 83175?

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 83155 and 83175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83155 and 83175, than apply into the LCM equation.

GCF(83155,83175) = 5
LCM(83155,83175) = ( 83155 × 83175) / 5
LCM(83155,83175) = 6916417125 / 5
LCM(83155,83175) = 1383283425

Least Common Multiple (LCM) of 83155 and 83175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83155 and 83175. First we will calculate the prime factors of 83155 and 83175.

Prime Factorization of 83155

Prime Factorization of 83175

Now multiplying the highest exponent prime factors to calculate the LCM of 83155 and 83175.

LCM(83155,83175) = 5² × 16631¹ × 3¹ × 1109¹
LCM(83155,83175) = 1383283425