What is the Least Common Multiple of 8170 and 8175?

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 8170 and 8175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8170 and 8175, than apply into the LCM equation.

GCF(8170,8175) = 5
LCM(8170,8175) = ( 8170 × 8175) / 5
LCM(8170,8175) = 66789750 / 5
LCM(8170,8175) = 13357950

Least Common Multiple (LCM) of 8170 and 8175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8170 and 8175. First we will calculate the prime factors of 8170 and 8175.

Prime Factorization of 8170

Prime Factorization of 8175

Now multiplying the highest exponent prime factors to calculate the LCM of 8170 and 8175.

LCM(8170,8175) = 2¹ × 5² × 19¹ × 43¹ × 3¹ × 109¹
LCM(8170,8175) = 13357950