What is the Least Common Multiple of 43470 and 43488?

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 43470 and 43488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43470 and 43488, than apply into the LCM equation.

GCF(43470,43488) = 18
LCM(43470,43488) = ( 43470 × 43488) / 18
LCM(43470,43488) = 1890423360 / 18
LCM(43470,43488) = 105023520

Least Common Multiple (LCM) of 43470 and 43488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43470 and 43488. First we will calculate the prime factors of 43470 and 43488.

Prime Factorization of 43470

Prime Factorization of 43488

Now multiplying the highest exponent prime factors to calculate the LCM of 43470 and 43488.

LCM(43470,43488) = 2⁵ × 3³ × 5¹ × 7¹ × 23¹ × 151¹
LCM(43470,43488) = 105023520