What is the Least Common Multiple of 25230 and 25238?

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 25230 and 25238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25230 and 25238, than apply into the LCM equation.

GCF(25230,25238) = 2
LCM(25230,25238) = ( 25230 × 25238) / 2
LCM(25230,25238) = 636754740 / 2
LCM(25230,25238) = 318377370

Least Common Multiple (LCM) of 25230 and 25238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25230 and 25238. First we will calculate the prime factors of 25230 and 25238.

Prime Factorization of 25230

Prime Factorization of 25238

Now multiplying the highest exponent prime factors to calculate the LCM of 25230 and 25238.

LCM(25230,25238) = 2¹ × 3¹ × 5¹ × 29² × 12619¹
LCM(25230,25238) = 318377370