What is the Least Common Multiple of 35825 and 35835?

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 35825 and 35835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35825 and 35835, than apply into the LCM equation.

GCF(35825,35835) = 5
LCM(35825,35835) = ( 35825 × 35835) / 5
LCM(35825,35835) = 1283788875 / 5
LCM(35825,35835) = 256757775

Least Common Multiple (LCM) of 35825 and 35835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35825 and 35835. First we will calculate the prime factors of 35825 and 35835.

Prime Factorization of 35825

Prime Factorization of 35835

Now multiplying the highest exponent prime factors to calculate the LCM of 35825 and 35835.

LCM(35825,35835) = 5² × 1433¹ × 3¹ × 2389¹
LCM(35825,35835) = 256757775