What is the Least Common Multiple of 52180 and 52185?

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 52180 and 52185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52180 and 52185, than apply into the LCM equation.

GCF(52180,52185) = 5
LCM(52180,52185) = ( 52180 × 52185) / 5
LCM(52180,52185) = 2723013300 / 5
LCM(52180,52185) = 544602660

Least Common Multiple (LCM) of 52180 and 52185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52180 and 52185. First we will calculate the prime factors of 52180 and 52185.

Prime Factorization of 52180

Prime Factorization of 52185

Now multiplying the highest exponent prime factors to calculate the LCM of 52180 and 52185.

LCM(52180,52185) = 2² × 5¹ × 2609¹ × 3¹ × 7² × 71¹
LCM(52180,52185) = 544602660