What is the Least Common Multiple of 25406 and 25426?

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 25406 and 25426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25406 and 25426, than apply into the LCM equation.

GCF(25406,25426) = 2
LCM(25406,25426) = ( 25406 × 25426) / 2
LCM(25406,25426) = 645972956 / 2
LCM(25406,25426) = 322986478

Least Common Multiple (LCM) of 25406 and 25426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25406 and 25426. First we will calculate the prime factors of 25406 and 25426.

Prime Factorization of 25406

Prime Factorization of 25426

Now multiplying the highest exponent prime factors to calculate the LCM of 25406 and 25426.

LCM(25406,25426) = 2¹ × 12703¹ × 12713¹
LCM(25406,25426) = 322986478