GCF and LCM Calculator Logo

What is the Least Common Multiple of 25061 and 25065?

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 25065 is 628153965.

LCM(25061,25065) = 628153965

LCM Calculator and
and

Least Common Multiple of 25061 and 25065 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 25065, than apply into the LCM equation.

GCF(25061,25065) = 1
LCM(25061,25065) = ( 25061 × 25065) / 1
LCM(25061,25065) = 628153965 / 1
LCM(25061,25065) = 628153965

Least Common Multiple (LCM) of 25061 and 25065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25061 and 25065. First we will calculate the prime factors of 25061 and 25065.

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 25065

Prime factors of 25065 are 3, 5, 557. Prime factorization of 25065 in exponential form is:

25065 = 32 × 51 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 25061 and 25065.

LCM(25061,25065) = 191 × 13191 × 32 × 51 × 5571
LCM(25061,25065) = 628153965