What is the Least Common Multiple of 8170 and 8190?

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 8190 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 8190, than apply into the LCM equation.

GCF(8170,8190) = 10
LCM(8170,8190) = ( 8170 × 8190) / 10
LCM(8170,8190) = 66912300 / 10
LCM(8170,8190) = 6691230

Least Common Multiple (LCM) of 8170 and 8190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8170 and 8190. First we will calculate the prime factors of 8170 and 8190.

Prime Factorization of 8170

Prime Factorization of 8190

Now multiplying the highest exponent prime factors to calculate the LCM of 8170 and 8190.

LCM(8170,8190) = 2¹ × 5¹ × 19¹ × 43¹ × 3² × 7¹ × 13¹
LCM(8170,8190) = 6691230