What is the Least Common Multiple of 25425 and 25443?

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 25425 and 25443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25425 and 25443, than apply into the LCM equation.

GCF(25425,25443) = 9
LCM(25425,25443) = ( 25425 × 25443) / 9
LCM(25425,25443) = 646888275 / 9
LCM(25425,25443) = 71876475

Least Common Multiple (LCM) of 25425 and 25443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25425 and 25443. First we will calculate the prime factors of 25425 and 25443.

Prime Factorization of 25425

Prime Factorization of 25443

Now multiplying the highest exponent prime factors to calculate the LCM of 25425 and 25443.

LCM(25425,25443) = 3² × 5² × 113¹ × 11¹ × 257¹
LCM(25425,25443) = 71876475