What is the Least Common Multiple of 25588 and 25602?

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 25588 and 25602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25588 and 25602, than apply into the LCM equation.

GCF(25588,25602) = 2
LCM(25588,25602) = ( 25588 × 25602) / 2
LCM(25588,25602) = 655103976 / 2
LCM(25588,25602) = 327551988

Least Common Multiple (LCM) of 25588 and 25602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25588 and 25602. First we will calculate the prime factors of 25588 and 25602.

Prime Factorization of 25588

Prime Factorization of 25602

Now multiplying the highest exponent prime factors to calculate the LCM of 25588 and 25602.

LCM(25588,25602) = 2² × 6397¹ × 3¹ × 17¹ × 251¹
LCM(25588,25602) = 327551988