What is the Least Common Multiple of 25236 and 25241?

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 25236 and 25241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25236 and 25241, than apply into the LCM equation.

GCF(25236,25241) = 1
LCM(25236,25241) = ( 25236 × 25241) / 1
LCM(25236,25241) = 636981876 / 1
LCM(25236,25241) = 636981876

Least Common Multiple (LCM) of 25236 and 25241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25236 and 25241. First we will calculate the prime factors of 25236 and 25241.

Prime Factorization of 25236

Prime Factorization of 25241

Now multiplying the highest exponent prime factors to calculate the LCM of 25236 and 25241.

LCM(25236,25241) = 2² × 3² × 701¹ × 43¹ × 587¹
LCM(25236,25241) = 636981876