What is the Least Common Multiple of 43072 and 43088?

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 43072 and 43088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43072 and 43088, than apply into the LCM equation.

GCF(43072,43088) = 16
LCM(43072,43088) = ( 43072 × 43088) / 16
LCM(43072,43088) = 1855886336 / 16
LCM(43072,43088) = 115992896

Least Common Multiple (LCM) of 43072 and 43088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43072 and 43088. First we will calculate the prime factors of 43072 and 43088.

Prime Factorization of 43072

Prime Factorization of 43088

Now multiplying the highest exponent prime factors to calculate the LCM of 43072 and 43088.

LCM(43072,43088) = 2⁶ × 673¹ × 2693¹
LCM(43072,43088) = 115992896