What is the Least Common Multiple of 43488 and 43501?

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 43488 and 43501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43488 and 43501, than apply into the LCM equation.

GCF(43488,43501) = 1
LCM(43488,43501) = ( 43488 × 43501) / 1
LCM(43488,43501) = 1891771488 / 1
LCM(43488,43501) = 1891771488

Least Common Multiple (LCM) of 43488 and 43501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43488 and 43501. First we will calculate the prime factors of 43488 and 43501.

Prime Factorization of 43488

Prime Factorization of 43501

Now multiplying the highest exponent prime factors to calculate the LCM of 43488 and 43501.

LCM(43488,43501) = 2⁵ × 3² × 151¹ × 41¹ × 1061¹
LCM(43488,43501) = 1891771488