What is the Least Common Multiple of 25248 and 25262?

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 25262 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 25262, than apply into the LCM equation.

GCF(25248,25262) = 2
LCM(25248,25262) = ( 25248 × 25262) / 2
LCM(25248,25262) = 637814976 / 2
LCM(25248,25262) = 318907488

Least Common Multiple (LCM) of 25248 and 25262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25248 and 25262. First we will calculate the prime factors of 25248 and 25262.

Prime Factorization of 25248

Prime Factorization of 25262

Now multiplying the highest exponent prime factors to calculate the LCM of 25248 and 25262.

LCM(25248,25262) = 2⁵ × 3¹ × 263¹ × 17¹ × 743¹
LCM(25248,25262) = 318907488