What is the Least Common Multiple of 25441 and 25454?

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 25441 and 25454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25441 and 25454, than apply into the LCM equation.

GCF(25441,25454) = 13
LCM(25441,25454) = ( 25441 × 25454) / 13
LCM(25441,25454) = 647575214 / 13
LCM(25441,25454) = 49813478

Least Common Multiple (LCM) of 25441 and 25454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25441 and 25454. First we will calculate the prime factors of 25441 and 25454.

Prime Factorization of 25441

Prime Factorization of 25454

Now multiplying the highest exponent prime factors to calculate the LCM of 25441 and 25454.

LCM(25441,25454) = 13¹ × 19¹ × 103¹ × 2¹ × 11¹ × 89¹
LCM(25441,25454) = 49813478