What is the Least Common Multiple of 43230 and 43248?

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 43230 and 43248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43230 and 43248, than apply into the LCM equation.

GCF(43230,43248) = 6
LCM(43230,43248) = ( 43230 × 43248) / 6
LCM(43230,43248) = 1869611040 / 6
LCM(43230,43248) = 311601840

Least Common Multiple (LCM) of 43230 and 43248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43230 and 43248. First we will calculate the prime factors of 43230 and 43248.

Prime Factorization of 43230

Prime Factorization of 43248

Now multiplying the highest exponent prime factors to calculate the LCM of 43230 and 43248.

LCM(43230,43248) = 2⁴ × 3¹ × 5¹ × 11¹ × 131¹ × 17¹ × 53¹
LCM(43230,43248) = 311601840