What is the Least Common Multiple of 52484 and 52496?

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 52484 and 52496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52484 and 52496, than apply into the LCM equation.

GCF(52484,52496) = 4
LCM(52484,52496) = ( 52484 × 52496) / 4
LCM(52484,52496) = 2755200064 / 4
LCM(52484,52496) = 688800016

Least Common Multiple (LCM) of 52484 and 52496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52484 and 52496. First we will calculate the prime factors of 52484 and 52496.

Prime Factorization of 52484

Prime Factorization of 52496

Now multiplying the highest exponent prime factors to calculate the LCM of 52484 and 52496.

LCM(52484,52496) = 2⁴ × 13121¹ × 17¹ × 193¹
LCM(52484,52496) = 688800016