What is the Least Common Multiple of 25578 and 25587?

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 25578 and 25587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25578 and 25587, than apply into the LCM equation.

GCF(25578,25587) = 9
LCM(25578,25587) = ( 25578 × 25587) / 9
LCM(25578,25587) = 654464286 / 9
LCM(25578,25587) = 72718254

Least Common Multiple (LCM) of 25578 and 25587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25578 and 25587. First we will calculate the prime factors of 25578 and 25587.

Prime Factorization of 25578

Prime Factorization of 25587

Now multiplying the highest exponent prime factors to calculate the LCM of 25578 and 25587.

LCM(25578,25587) = 2¹ × 3² × 7² × 29¹ × 2843¹
LCM(25578,25587) = 72718254