What is the Least Common Multiple of 43310 and 43328?

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 43310 and 43328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43310 and 43328, than apply into the LCM equation.

GCF(43310,43328) = 2
LCM(43310,43328) = ( 43310 × 43328) / 2
LCM(43310,43328) = 1876535680 / 2
LCM(43310,43328) = 938267840

Least Common Multiple (LCM) of 43310 and 43328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43310 and 43328. First we will calculate the prime factors of 43310 and 43328.

Prime Factorization of 43310

Prime Factorization of 43328

Now multiplying the highest exponent prime factors to calculate the LCM of 43310 and 43328.

LCM(43310,43328) = 2⁶ × 5¹ × 61¹ × 71¹ × 677¹
LCM(43310,43328) = 938267840