What is the Least Common Multiple of 43443 and 43448?

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 43443 and 43448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43443 and 43448, than apply into the LCM equation.

GCF(43443,43448) = 1
LCM(43443,43448) = ( 43443 × 43448) / 1
LCM(43443,43448) = 1887511464 / 1
LCM(43443,43448) = 1887511464

Least Common Multiple (LCM) of 43443 and 43448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43443 and 43448. First we will calculate the prime factors of 43443 and 43448.

Prime Factorization of 43443

Prime Factorization of 43448

Now multiplying the highest exponent prime factors to calculate the LCM of 43443 and 43448.

LCM(43443,43448) = 3³ × 1609¹ × 2³ × 5431¹
LCM(43443,43448) = 1887511464