What is the Least Common Multiple of 25769 and 25780?

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 25769 and 25780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25769 and 25780, than apply into the LCM equation.

GCF(25769,25780) = 1
LCM(25769,25780) = ( 25769 × 25780) / 1
LCM(25769,25780) = 664324820 / 1
LCM(25769,25780) = 664324820

Least Common Multiple (LCM) of 25769 and 25780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25769 and 25780. First we will calculate the prime factors of 25769 and 25780.

Prime Factorization of 25769

Prime Factorization of 25780

Now multiplying the highest exponent prime factors to calculate the LCM of 25769 and 25780.

LCM(25769,25780) = 73¹ × 353¹ × 2² × 5¹ × 1289¹
LCM(25769,25780) = 664324820