What is the Least Common Multiple of 25835 and 25840?

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 25835 and 25840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25835 and 25840, than apply into the LCM equation.

GCF(25835,25840) = 5
LCM(25835,25840) = ( 25835 × 25840) / 5
LCM(25835,25840) = 667576400 / 5
LCM(25835,25840) = 133515280

Least Common Multiple (LCM) of 25835 and 25840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25835 and 25840. First we will calculate the prime factors of 25835 and 25840.

Prime Factorization of 25835

Prime Factorization of 25840

Now multiplying the highest exponent prime factors to calculate the LCM of 25835 and 25840.

LCM(25835,25840) = 5¹ × 5167¹ × 2⁴ × 17¹ × 19¹
LCM(25835,25840) = 133515280