What is the Least Common Multiple of 43248 and 43254?

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 43248 and 43254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43248 and 43254, than apply into the LCM equation.

GCF(43248,43254) = 6
LCM(43248,43254) = ( 43248 × 43254) / 6
LCM(43248,43254) = 1870648992 / 6
LCM(43248,43254) = 311774832

Least Common Multiple (LCM) of 43248 and 43254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43248 and 43254. First we will calculate the prime factors of 43248 and 43254.

Prime Factorization of 43248

Prime Factorization of 43254

Now multiplying the highest exponent prime factors to calculate the LCM of 43248 and 43254.

LCM(43248,43254) = 2⁴ × 3⁵ × 17¹ × 53¹ × 89¹
LCM(43248,43254) = 311774832