What is the Least Common Multiple of 23248 and 23266?

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 23266 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 23266, than apply into the LCM equation.

GCF(23248,23266) = 2
LCM(23248,23266) = ( 23248 × 23266) / 2
LCM(23248,23266) = 540887968 / 2
LCM(23248,23266) = 270443984

Least Common Multiple (LCM) of 23248 and 23266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23248 and 23266. First we will calculate the prime factors of 23248 and 23266.

Prime Factorization of 23248

Prime Factorization of 23266

Now multiplying the highest exponent prime factors to calculate the LCM of 23248 and 23266.

LCM(23248,23266) = 2⁴ × 1453¹ × 11633¹
LCM(23248,23266) = 270443984