GCF and LCM Calculator Logo

What is the Least Common Multiple of 25549 and 25567?

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 25549 and 25567 is 653211283.

LCM(25549,25567) = 653211283

LCM Calculator and
and

Least Common Multiple of 25549 and 25567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25549 and 25567, than apply into the LCM equation.

GCF(25549,25567) = 1
LCM(25549,25567) = ( 25549 × 25567) / 1
LCM(25549,25567) = 653211283 / 1
LCM(25549,25567) = 653211283

Least Common Multiple (LCM) of 25549 and 25567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25549 and 25567. First we will calculate the prime factors of 25549 and 25567.

Prime Factorization of 25549

Prime factors of 25549 are 29, 881. Prime factorization of 25549 in exponential form is:

25549 = 291 × 8811

Prime Factorization of 25567

Prime factors of 25567 are 37, 691. Prime factorization of 25567 in exponential form is:

25567 = 371 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 25549 and 25567.

LCM(25549,25567) = 291 × 8811 × 371 × 6911
LCM(25549,25567) = 653211283