What is the Least Common Multiple of 52170 and 52189?

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 52170 and 52189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52170 and 52189, than apply into the LCM equation.

GCF(52170,52189) = 1
LCM(52170,52189) = ( 52170 × 52189) / 1
LCM(52170,52189) = 2722700130 / 1
LCM(52170,52189) = 2722700130

Least Common Multiple (LCM) of 52170 and 52189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52170 and 52189. First we will calculate the prime factors of 52170 and 52189.

Prime Factorization of 52170

Prime Factorization of 52189

Now multiplying the highest exponent prime factors to calculate the LCM of 52170 and 52189.

LCM(52170,52189) = 2¹ × 3¹ × 5¹ × 37¹ × 47¹ × 52189¹
LCM(52170,52189) = 2722700130