What is the Least Common Multiple of 25780 and 25795?

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 25780 and 25795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25780 and 25795, than apply into the LCM equation.

GCF(25780,25795) = 5
LCM(25780,25795) = ( 25780 × 25795) / 5
LCM(25780,25795) = 664995100 / 5
LCM(25780,25795) = 132999020

Least Common Multiple (LCM) of 25780 and 25795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25780 and 25795. First we will calculate the prime factors of 25780 and 25795.

Prime Factorization of 25780

Prime Factorization of 25795

Now multiplying the highest exponent prime factors to calculate the LCM of 25780 and 25795.

LCM(25780,25795) = 2² × 5¹ × 1289¹ × 7¹ × 11¹ × 67¹
LCM(25780,25795) = 132999020