GCF and LCM Calculator Logo

What is the Least Common Multiple of 25061 and 25069?

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 25061 and 25069 is 628254209.

LCM(25061,25069) = 628254209

LCM Calculator and
and

Least Common Multiple of 25061 and 25069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25061 and 25069, than apply into the LCM equation.

GCF(25061,25069) = 1
LCM(25061,25069) = ( 25061 × 25069) / 1
LCM(25061,25069) = 628254209 / 1
LCM(25061,25069) = 628254209

Least Common Multiple (LCM) of 25061 and 25069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25061 and 25069. First we will calculate the prime factors of 25061 and 25069.

Prime Factorization of 25061

Prime factors of 25061 are 19, 1319. Prime factorization of 25061 in exponential form is:

25061 = 191 × 13191

Prime Factorization of 25069

Prime factors of 25069 are 11, 43, 53. Prime factorization of 25069 in exponential form is:

25069 = 111 × 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 25061 and 25069.

LCM(25061,25069) = 191 × 13191 × 111 × 431 × 531
LCM(25061,25069) = 628254209