What is the Least Common Multiple of 43569 and 43584?

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 43569 and 43584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43569 and 43584, than apply into the LCM equation.

GCF(43569,43584) = 3
LCM(43569,43584) = ( 43569 × 43584) / 3
LCM(43569,43584) = 1898911296 / 3
LCM(43569,43584) = 632970432

Least Common Multiple (LCM) of 43569 and 43584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43569 and 43584. First we will calculate the prime factors of 43569 and 43584.

Prime Factorization of 43569

Prime Factorization of 43584

Now multiplying the highest exponent prime factors to calculate the LCM of 43569 and 43584.

LCM(43569,43584) = 3² × 47¹ × 103¹ × 2⁶ × 227¹
LCM(43569,43584) = 632970432