What is the Least Common Multiple of 25471 and 25489?

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 25471 and 25489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25471 and 25489, than apply into the LCM equation.

GCF(25471,25489) = 1
LCM(25471,25489) = ( 25471 × 25489) / 1
LCM(25471,25489) = 649230319 / 1
LCM(25471,25489) = 649230319

Least Common Multiple (LCM) of 25471 and 25489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25471 and 25489. First we will calculate the prime factors of 25471 and 25489.

Prime Factorization of 25471

Prime Factorization of 25489

Now multiplying the highest exponent prime factors to calculate the LCM of 25471 and 25489.

LCM(25471,25489) = 25471¹ × 71¹ × 359¹
LCM(25471,25489) = 649230319