What is the Least Common Multiple of 43328 and 43341?

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 43328 and 43341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43328 and 43341, than apply into the LCM equation.

GCF(43328,43341) = 1
LCM(43328,43341) = ( 43328 × 43341) / 1
LCM(43328,43341) = 1877878848 / 1
LCM(43328,43341) = 1877878848

Least Common Multiple (LCM) of 43328 and 43341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43328 and 43341. First we will calculate the prime factors of 43328 and 43341.

Prime Factorization of 43328

Prime Factorization of 43341

Now multiplying the highest exponent prime factors to calculate the LCM of 43328 and 43341.

LCM(43328,43341) = 2⁶ × 677¹ × 3¹ × 14447¹
LCM(43328,43341) = 1877878848