What is the Least Common Multiple of 25825 and 25843?

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 25825 and 25843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25825 and 25843, than apply into the LCM equation.

GCF(25825,25843) = 1
LCM(25825,25843) = ( 25825 × 25843) / 1
LCM(25825,25843) = 667395475 / 1
LCM(25825,25843) = 667395475

Least Common Multiple (LCM) of 25825 and 25843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25825 and 25843. First we will calculate the prime factors of 25825 and 25843.

Prime Factorization of 25825

Prime Factorization of 25843

Now multiplying the highest exponent prime factors to calculate the LCM of 25825 and 25843.

LCM(25825,25843) = 5² × 1033¹ × 43¹ × 601¹
LCM(25825,25843) = 667395475