What is the Least Common Multiple of 23248 and 23265?

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 23248 and 23265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23248 and 23265, than apply into the LCM equation.

GCF(23248,23265) = 1
LCM(23248,23265) = ( 23248 × 23265) / 1
LCM(23248,23265) = 540864720 / 1
LCM(23248,23265) = 540864720

Least Common Multiple (LCM) of 23248 and 23265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23248 and 23265. First we will calculate the prime factors of 23248 and 23265.

Prime Factorization of 23248

Prime Factorization of 23265

Now multiplying the highest exponent prime factors to calculate the LCM of 23248 and 23265.

LCM(23248,23265) = 2⁴ × 1453¹ × 3² × 5¹ × 11¹ × 47¹
LCM(23248,23265) = 540864720