What is the Least Common Multiple of 25590 and 25598?

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 25590 and 25598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25590 and 25598, than apply into the LCM equation.

GCF(25590,25598) = 2
LCM(25590,25598) = ( 25590 × 25598) / 2
LCM(25590,25598) = 655052820 / 2
LCM(25590,25598) = 327526410

Least Common Multiple (LCM) of 25590 and 25598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25590 and 25598. First we will calculate the prime factors of 25590 and 25598.

Prime Factorization of 25590

Prime Factorization of 25598

Now multiplying the highest exponent prime factors to calculate the LCM of 25590 and 25598.

LCM(25590,25598) = 2¹ × 3¹ × 5¹ × 853¹ × 12799¹
LCM(25590,25598) = 327526410