What is the Least Common Multiple of 43854 and 43870?

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 43870 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 43870, than apply into the LCM equation.

GCF(43854,43870) = 2
LCM(43854,43870) = ( 43854 × 43870) / 2
LCM(43854,43870) = 1923874980 / 2
LCM(43854,43870) = 961937490

Least Common Multiple (LCM) of 43854 and 43870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43854 and 43870. First we will calculate the prime factors of 43854 and 43870.

Prime Factorization of 43854

Prime Factorization of 43870

Now multiplying the highest exponent prime factors to calculate the LCM of 43854 and 43870.

LCM(43854,43870) = 2¹ × 3¹ × 7309¹ × 5¹ × 41¹ × 107¹
LCM(43854,43870) = 961937490