What is the Least Common Multiple of 25235 and 25249?

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 of 25235 and 25249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25235 and 25249, than apply into the LCM equation.

GCF(25235,25249) = 7
LCM(25235,25249) = ( 25235 × 25249) / 7
LCM(25235,25249) = 637158515 / 7
LCM(25235,25249) = 91022645

Least Common Multiple (LCM) of 25235 and 25249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25235 and 25249. First we will calculate the prime factors of 25235 and 25249.

Prime Factorization of 25235

Prime Factorization of 25249

Now multiplying the highest exponent prime factors to calculate the LCM of 25235 and 25249.

LCM(25235,25249) = 5¹ × 7² × 103¹ × 3607¹
LCM(25235,25249) = 91022645