What is the Least Common Multiple of 43836 and 43849?

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 43836 and 43849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43836 and 43849, than apply into the LCM equation.

GCF(43836,43849) = 13
LCM(43836,43849) = ( 43836 × 43849) / 13
LCM(43836,43849) = 1922164764 / 13
LCM(43836,43849) = 147858828

Least Common Multiple (LCM) of 43836 and 43849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43836 and 43849. First we will calculate the prime factors of 43836 and 43849.

Prime Factorization of 43836

Prime Factorization of 43849

Now multiplying the highest exponent prime factors to calculate the LCM of 43836 and 43849.

LCM(43836,43849) = 2² × 3¹ × 13¹ × 281¹ × 3373¹
LCM(43836,43849) = 147858828