What is the Least Common Multiple of 52825 and 52845?

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 52825 and 52845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52825 and 52845, than apply into the LCM equation.

GCF(52825,52845) = 5
LCM(52825,52845) = ( 52825 × 52845) / 5
LCM(52825,52845) = 2791537125 / 5
LCM(52825,52845) = 558307425

Least Common Multiple (LCM) of 52825 and 52845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52825 and 52845. First we will calculate the prime factors of 52825 and 52845.

Prime Factorization of 52825

Prime Factorization of 52845

Now multiplying the highest exponent prime factors to calculate the LCM of 52825 and 52845.

LCM(52825,52845) = 5² × 2113¹ × 3¹ × 13¹ × 271¹
LCM(52825,52845) = 558307425