What is the Least Common Multiple of 25782 and 25789?

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 25782 and 25789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25782 and 25789, than apply into the LCM equation.

GCF(25782,25789) = 1
LCM(25782,25789) = ( 25782 × 25789) / 1
LCM(25782,25789) = 664891998 / 1
LCM(25782,25789) = 664891998

Least Common Multiple (LCM) of 25782 and 25789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25782 and 25789. First we will calculate the prime factors of 25782 and 25789.

Prime Factorization of 25782

Prime Factorization of 25789

Now multiplying the highest exponent prime factors to calculate the LCM of 25782 and 25789.

LCM(25782,25789) = 2¹ × 3¹ × 4297¹ × 17¹ × 37¹ × 41¹
LCM(25782,25789) = 664891998