What is the Least Common Multiple of 25473 and 25487?

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 25473 and 25487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25473 and 25487, than apply into the LCM equation.

GCF(25473,25487) = 7
LCM(25473,25487) = ( 25473 × 25487) / 7
LCM(25473,25487) = 649230351 / 7
LCM(25473,25487) = 92747193

Least Common Multiple (LCM) of 25473 and 25487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25473 and 25487. First we will calculate the prime factors of 25473 and 25487.

Prime Factorization of 25473

Prime Factorization of 25487

Now multiplying the highest exponent prime factors to calculate the LCM of 25473 and 25487.

LCM(25473,25487) = 3¹ × 7¹ × 1213¹ × 11¹ × 331¹
LCM(25473,25487) = 92747193