What is the Least Common Multiple of 25755 and 25775?

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 25755 and 25775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25755 and 25775, than apply into the LCM equation.

GCF(25755,25775) = 5
LCM(25755,25775) = ( 25755 × 25775) / 5
LCM(25755,25775) = 663835125 / 5
LCM(25755,25775) = 132767025

Least Common Multiple (LCM) of 25755 and 25775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25755 and 25775. First we will calculate the prime factors of 25755 and 25775.

Prime Factorization of 25755

Prime Factorization of 25775

Now multiplying the highest exponent prime factors to calculate the LCM of 25755 and 25775.

LCM(25755,25775) = 3¹ × 5² × 17¹ × 101¹ × 1031¹
LCM(25755,25775) = 132767025