What is the Least Common Multiple of 43854 and 43866?

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 43854 and 43866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43854 and 43866, than apply into the LCM equation.

GCF(43854,43866) = 6
LCM(43854,43866) = ( 43854 × 43866) / 6
LCM(43854,43866) = 1923699564 / 6
LCM(43854,43866) = 320616594

Least Common Multiple (LCM) of 43854 and 43866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43854 and 43866. First we will calculate the prime factors of 43854 and 43866.

Prime Factorization of 43854

Prime Factorization of 43866

Now multiplying the highest exponent prime factors to calculate the LCM of 43854 and 43866.

LCM(43854,43866) = 2¹ × 3² × 7309¹ × 2437¹
LCM(43854,43866) = 320616594