What is the Least Common Multiple of 15825 and 15835?

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 15825 and 15835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15825 and 15835, than apply into the LCM equation.

GCF(15825,15835) = 5
LCM(15825,15835) = ( 15825 × 15835) / 5
LCM(15825,15835) = 250588875 / 5
LCM(15825,15835) = 50117775

Least Common Multiple (LCM) of 15825 and 15835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15825 and 15835. First we will calculate the prime factors of 15825 and 15835.

Prime Factorization of 15825

Prime Factorization of 15835

Now multiplying the highest exponent prime factors to calculate the LCM of 15825 and 15835.

LCM(15825,15835) = 3¹ × 5² × 211¹ × 3167¹
LCM(15825,15835) = 50117775