What is the Least Common Multiple of 52808 and 52825?

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 52808 and 52825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52808 and 52825, than apply into the LCM equation.

GCF(52808,52825) = 1
LCM(52808,52825) = ( 52808 × 52825) / 1
LCM(52808,52825) = 2789582600 / 1
LCM(52808,52825) = 2789582600

Least Common Multiple (LCM) of 52808 and 52825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52808 and 52825. First we will calculate the prime factors of 52808 and 52825.

Prime Factorization of 52808

Prime Factorization of 52825

Now multiplying the highest exponent prime factors to calculate the LCM of 52808 and 52825.

LCM(52808,52825) = 2³ × 7¹ × 23¹ × 41¹ × 5² × 2113¹
LCM(52808,52825) = 2789582600