What is the Least Common Multiple of 52164 and 52180?

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 52164 and 52180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52164 and 52180, than apply into the LCM equation.

GCF(52164,52180) = 4
LCM(52164,52180) = ( 52164 × 52180) / 4
LCM(52164,52180) = 2721917520 / 4
LCM(52164,52180) = 680479380

Least Common Multiple (LCM) of 52164 and 52180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52164 and 52180. First we will calculate the prime factors of 52164 and 52180.

Prime Factorization of 52164

Prime Factorization of 52180

Now multiplying the highest exponent prime factors to calculate the LCM of 52164 and 52180.

LCM(52164,52180) = 2² × 3⁴ × 7¹ × 23¹ × 5¹ × 2609¹
LCM(52164,52180) = 680479380