What is the Least Common Multiple of 52388 and 52405?

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 52388 and 52405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52388 and 52405, than apply into the LCM equation.

GCF(52388,52405) = 1
LCM(52388,52405) = ( 52388 × 52405) / 1
LCM(52388,52405) = 2745393140 / 1
LCM(52388,52405) = 2745393140

Least Common Multiple (LCM) of 52388 and 52405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52388 and 52405. First we will calculate the prime factors of 52388 and 52405.

Prime Factorization of 52388

Prime Factorization of 52405

Now multiplying the highest exponent prime factors to calculate the LCM of 52388 and 52405.

LCM(52388,52405) = 2² × 7¹ × 1871¹ × 5¹ × 47¹ × 223¹
LCM(52388,52405) = 2745393140