What is the Least Common Multiple of 25489 and 25496?

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 25489 and 25496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25489 and 25496, than apply into the LCM equation.

GCF(25489,25496) = 1
LCM(25489,25496) = ( 25489 × 25496) / 1
LCM(25489,25496) = 649867544 / 1
LCM(25489,25496) = 649867544

Least Common Multiple (LCM) of 25489 and 25496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25489 and 25496. First we will calculate the prime factors of 25489 and 25496.

Prime Factorization of 25489

Prime Factorization of 25496

Now multiplying the highest exponent prime factors to calculate the LCM of 25489 and 25496.

LCM(25489,25496) = 71¹ × 359¹ × 2³ × 3187¹
LCM(25489,25496) = 649867544