GCF and LCM Calculator Logo

What is the Least Common Multiple of 25207 and 25225?

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 25207 and 25225 is 635846575.

LCM(25207,25225) = 635846575

LCM Calculator and
and

Least Common Multiple of 25207 and 25225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25207 and 25225, than apply into the LCM equation.

GCF(25207,25225) = 1
LCM(25207,25225) = ( 25207 × 25225) / 1
LCM(25207,25225) = 635846575 / 1
LCM(25207,25225) = 635846575

Least Common Multiple (LCM) of 25207 and 25225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25207 and 25225. First we will calculate the prime factors of 25207 and 25225.

Prime Factorization of 25207

Prime factors of 25207 are 7, 13, 277. Prime factorization of 25207 in exponential form is:

25207 = 71 × 131 × 2771

Prime Factorization of 25225

Prime factors of 25225 are 5, 1009. Prime factorization of 25225 in exponential form is:

25225 = 52 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 25207 and 25225.

LCM(25207,25225) = 71 × 131 × 2771 × 52 × 10091
LCM(25207,25225) = 635846575