What is the Least Common Multiple of 43993 and 44000?

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 43993 and 44000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43993 and 44000, than apply into the LCM equation.

GCF(43993,44000) = 1
LCM(43993,44000) = ( 43993 × 44000) / 1
LCM(43993,44000) = 1935692000 / 1
LCM(43993,44000) = 1935692000

Least Common Multiple (LCM) of 43993 and 44000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43993 and 44000. First we will calculate the prime factors of 43993 and 44000.

Prime Factorization of 43993

Prime Factorization of 44000

Now multiplying the highest exponent prime factors to calculate the LCM of 43993 and 44000.

LCM(43993,44000) = 29¹ × 37¹ × 41¹ × 2⁵ × 5³ × 11¹
LCM(43993,44000) = 1935692000