What is the Least Common Multiple of 43984 and 43993?

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 43984 and 43993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43984 and 43993, than apply into the LCM equation.

GCF(43984,43993) = 1
LCM(43984,43993) = ( 43984 × 43993) / 1
LCM(43984,43993) = 1934988112 / 1
LCM(43984,43993) = 1934988112

Least Common Multiple (LCM) of 43984 and 43993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43984 and 43993. First we will calculate the prime factors of 43984 and 43993.

Prime Factorization of 43984

Prime Factorization of 43993

Now multiplying the highest exponent prime factors to calculate the LCM of 43984 and 43993.

LCM(43984,43993) = 2⁴ × 2749¹ × 29¹ × 37¹ × 41¹
LCM(43984,43993) = 1934988112