GCF and LCM Calculator Logo

What is the Least Common Multiple of 25488 and 25505?

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 (LCM) of 25488 and 25505 is 650071440.

LCM(25488,25505) = 650071440

LCM Calculator and
and

Least Common Multiple of 25488 and 25505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25488 and 25505, than apply into the LCM equation.

GCF(25488,25505) = 1
LCM(25488,25505) = ( 25488 × 25505) / 1
LCM(25488,25505) = 650071440 / 1
LCM(25488,25505) = 650071440

Least Common Multiple (LCM) of 25488 and 25505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25488 and 25505. First we will calculate the prime factors of 25488 and 25505.

Prime Factorization of 25488

Prime factors of 25488 are 2, 3, 59. Prime factorization of 25488 in exponential form is:

25488 = 24 × 33 × 591

Prime Factorization of 25505

Prime factors of 25505 are 5, 5101. Prime factorization of 25505 in exponential form is:

25505 = 51 × 51011

Now multiplying the highest exponent prime factors to calculate the LCM of 25488 and 25505.

LCM(25488,25505) = 24 × 33 × 591 × 51 × 51011
LCM(25488,25505) = 650071440