What is the Least Common Multiple of 25761 and 25779?

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 25761 and 25779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25761 and 25779, than apply into the LCM equation.

GCF(25761,25779) = 3
LCM(25761,25779) = ( 25761 × 25779) / 3
LCM(25761,25779) = 664092819 / 3
LCM(25761,25779) = 221364273

Least Common Multiple (LCM) of 25761 and 25779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25761 and 25779. First we will calculate the prime factors of 25761 and 25779.

Prime Factorization of 25761

Prime Factorization of 25779

Now multiplying the highest exponent prime factors to calculate the LCM of 25761 and 25779.

LCM(25761,25779) = 3¹ × 31¹ × 277¹ × 13¹ × 661¹
LCM(25761,25779) = 221364273