What is the Least Common Multiple of 25578 and 25588?

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 25588 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 25588, than apply into the LCM equation.

GCF(25578,25588) = 2
LCM(25578,25588) = ( 25578 × 25588) / 2
LCM(25578,25588) = 654489864 / 2
LCM(25578,25588) = 327244932

Least Common Multiple (LCM) of 25578 and 25588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25578 and 25588. First we will calculate the prime factors of 25578 and 25588.

Prime Factorization of 25578

Prime Factorization of 25588

Now multiplying the highest exponent prime factors to calculate the LCM of 25578 and 25588.

LCM(25578,25588) = 2² × 3² × 7² × 29¹ × 6397¹
LCM(25578,25588) = 327244932