What is the Least Common Multiple of 25065 and 25077?

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 25065 and 25077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25065 and 25077, than apply into the LCM equation.

GCF(25065,25077) = 3
LCM(25065,25077) = ( 25065 × 25077) / 3
LCM(25065,25077) = 628555005 / 3
LCM(25065,25077) = 209518335

Least Common Multiple (LCM) of 25065 and 25077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25065 and 25077. First we will calculate the prime factors of 25065 and 25077.

Prime Factorization of 25065

Prime Factorization of 25077

Now multiplying the highest exponent prime factors to calculate the LCM of 25065 and 25077.

LCM(25065,25077) = 3² × 5¹ × 557¹ × 13¹ × 643¹
LCM(25065,25077) = 209518335