What is the Least Common Multiple of 52638 and 52644?

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 52638 and 52644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52638 and 52644, than apply into the LCM equation.

GCF(52638,52644) = 6
LCM(52638,52644) = ( 52638 × 52644) / 6
LCM(52638,52644) = 2771074872 / 6
LCM(52638,52644) = 461845812

Least Common Multiple (LCM) of 52638 and 52644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52638 and 52644. First we will calculate the prime factors of 52638 and 52644.

Prime Factorization of 52638

Prime Factorization of 52644

Now multiplying the highest exponent prime factors to calculate the LCM of 52638 and 52644.

LCM(52638,52644) = 2² × 3¹ × 31¹ × 283¹ × 41¹ × 107¹
LCM(52638,52644) = 461845812