What is the Least Common Multiple of 25755 and 25773?

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 25773 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 25773, than apply into the LCM equation.

GCF(25755,25773) = 3
LCM(25755,25773) = ( 25755 × 25773) / 3
LCM(25755,25773) = 663783615 / 3
LCM(25755,25773) = 221261205

Least Common Multiple (LCM) of 25755 and 25773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25755 and 25773. First we will calculate the prime factors of 25755 and 25773.

Prime Factorization of 25755

Prime Factorization of 25773

Now multiplying the highest exponent prime factors to calculate the LCM of 25755 and 25773.

LCM(25755,25773) = 3¹ × 5¹ × 17¹ × 101¹ × 11² × 71¹
LCM(25755,25773) = 221261205