What is the Least Common Multiple of 25248 and 25254?

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 25248 and 25254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25248 and 25254, than apply into the LCM equation.

GCF(25248,25254) = 6
LCM(25248,25254) = ( 25248 × 25254) / 6
LCM(25248,25254) = 637612992 / 6
LCM(25248,25254) = 106268832

Least Common Multiple (LCM) of 25248 and 25254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25248 and 25254. First we will calculate the prime factors of 25248 and 25254.

Prime Factorization of 25248

Prime Factorization of 25254

Now multiplying the highest exponent prime factors to calculate the LCM of 25248 and 25254.

LCM(25248,25254) = 2⁵ × 3² × 263¹ × 23¹ × 61¹
LCM(25248,25254) = 106268832