What is the Least Common Multiple of 52788 and 52808?

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 52788 and 52808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52788 and 52808, than apply into the LCM equation.

GCF(52788,52808) = 4
LCM(52788,52808) = ( 52788 × 52808) / 4
LCM(52788,52808) = 2787628704 / 4
LCM(52788,52808) = 696907176

Least Common Multiple (LCM) of 52788 and 52808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52788 and 52808. First we will calculate the prime factors of 52788 and 52808.

Prime Factorization of 52788

Prime Factorization of 52808

Now multiplying the highest exponent prime factors to calculate the LCM of 52788 and 52808.

LCM(52788,52808) = 2³ × 3¹ × 53¹ × 83¹ × 7¹ × 23¹ × 41¹
LCM(52788,52808) = 696907176