What is the Least Common Multiple of 41832 and 41846?

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 41832 and 41846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41832 and 41846, than apply into the LCM equation.

GCF(41832,41846) = 14
LCM(41832,41846) = ( 41832 × 41846) / 14
LCM(41832,41846) = 1750501872 / 14
LCM(41832,41846) = 125035848

Least Common Multiple (LCM) of 41832 and 41846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41832 and 41846. First we will calculate the prime factors of 41832 and 41846.

Prime Factorization of 41832

Prime Factorization of 41846

Now multiplying the highest exponent prime factors to calculate the LCM of 41832 and 41846.

LCM(41832,41846) = 2³ × 3² × 7³ × 83¹ × 61¹
LCM(41832,41846) = 125035848