What is the Least Common Multiple of 43829 and 43846?

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 43829 and 43846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43829 and 43846, than apply into the LCM equation.

GCF(43829,43846) = 1
LCM(43829,43846) = ( 43829 × 43846) / 1
LCM(43829,43846) = 1921726334 / 1
LCM(43829,43846) = 1921726334

Least Common Multiple (LCM) of 43829 and 43846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43829 and 43846. First we will calculate the prime factors of 43829 and 43846.

Prime Factorization of 43829

Prime Factorization of 43846

Now multiplying the highest exponent prime factors to calculate the LCM of 43829 and 43846.

LCM(43829,43846) = 41¹ × 1069¹ × 2¹ × 11¹ × 1993¹
LCM(43829,43846) = 1921726334