What is the Least Common Multiple of 43814 and 43829?

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 43814 and 43829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43814 and 43829, than apply into the LCM equation.

GCF(43814,43829) = 1
LCM(43814,43829) = ( 43814 × 43829) / 1
LCM(43814,43829) = 1920323806 / 1
LCM(43814,43829) = 1920323806

Least Common Multiple (LCM) of 43814 and 43829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43814 and 43829. First we will calculate the prime factors of 43814 and 43829.

Prime Factorization of 43814

Prime Factorization of 43829

Now multiplying the highest exponent prime factors to calculate the LCM of 43814 and 43829.

LCM(43814,43829) = 2¹ × 19¹ × 1153¹ × 41¹ × 1069¹
LCM(43814,43829) = 1920323806