What is the Least Common Multiple of 41824 and 41843?

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 41824 and 41843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41824 and 41843, than apply into the LCM equation.

GCF(41824,41843) = 1
LCM(41824,41843) = ( 41824 × 41843) / 1
LCM(41824,41843) = 1750041632 / 1
LCM(41824,41843) = 1750041632

Least Common Multiple (LCM) of 41824 and 41843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41824 and 41843. First we will calculate the prime factors of 41824 and 41843.

Prime Factorization of 41824

Prime Factorization of 41843

Now multiplying the highest exponent prime factors to calculate the LCM of 41824 and 41843.

LCM(41824,41843) = 2⁵ × 1307¹ × 41843¹
LCM(41824,41843) = 1750041632