What is the Least Common Multiple of 43808 and 43819?

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 43808 and 43819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43808 and 43819, than apply into the LCM equation.

GCF(43808,43819) = 1
LCM(43808,43819) = ( 43808 × 43819) / 1
LCM(43808,43819) = 1919622752 / 1
LCM(43808,43819) = 1919622752

Least Common Multiple (LCM) of 43808 and 43819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43808 and 43819. First we will calculate the prime factors of 43808 and 43819.

Prime Factorization of 43808

Prime Factorization of 43819

Now multiplying the highest exponent prime factors to calculate the LCM of 43808 and 43819.

LCM(43808,43819) = 2⁵ × 37² × 29¹ × 1511¹
LCM(43808,43819) = 1919622752