What is the Least Common Multiple of 41832 and 41840?

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 41840 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 41840, than apply into the LCM equation.

GCF(41832,41840) = 8
LCM(41832,41840) = ( 41832 × 41840) / 8
LCM(41832,41840) = 1750250880 / 8
LCM(41832,41840) = 218781360

Least Common Multiple (LCM) of 41832 and 41840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41832 and 41840. First we will calculate the prime factors of 41832 and 41840.

Prime Factorization of 41832

Prime Factorization of 41840

Now multiplying the highest exponent prime factors to calculate the LCM of 41832 and 41840.

LCM(41832,41840) = 2⁴ × 3² × 7¹ × 83¹ × 5¹ × 523¹
LCM(41832,41840) = 218781360