What is the Least Common Multiple of 43224 and 43230?

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 43224 and 43230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43224 and 43230, than apply into the LCM equation.

GCF(43224,43230) = 6
LCM(43224,43230) = ( 43224 × 43230) / 6
LCM(43224,43230) = 1868573520 / 6
LCM(43224,43230) = 311428920

Least Common Multiple (LCM) of 43224 and 43230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43224 and 43230. First we will calculate the prime factors of 43224 and 43230.

Prime Factorization of 43224

Prime Factorization of 43230

Now multiplying the highest exponent prime factors to calculate the LCM of 43224 and 43230.

LCM(43224,43230) = 2³ × 3¹ × 1801¹ × 5¹ × 11¹ × 131¹
LCM(43224,43230) = 311428920