What is the Least Common Multiple of 25398 and 25408?

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 25398 and 25408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25398 and 25408, than apply into the LCM equation.

GCF(25398,25408) = 2
LCM(25398,25408) = ( 25398 × 25408) / 2
LCM(25398,25408) = 645312384 / 2
LCM(25398,25408) = 322656192

Least Common Multiple (LCM) of 25398 and 25408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25398 and 25408. First we will calculate the prime factors of 25398 and 25408.

Prime Factorization of 25398

Prime Factorization of 25408

Now multiplying the highest exponent prime factors to calculate the LCM of 25398 and 25408.

LCM(25398,25408) = 2⁶ × 3² × 17¹ × 83¹ × 397¹
LCM(25398,25408) = 322656192