What is the Least Common Multiple of 1024 and 1041?

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 1024 and 1041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1024 and 1041, than apply into the LCM equation.

GCF(1024,1041) = 1
LCM(1024,1041) = ( 1024 × 1041) / 1
LCM(1024,1041) = 1065984 / 1
LCM(1024,1041) = 1065984

Least Common Multiple (LCM) of 1024 and 1041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1024 and 1041. First we will calculate the prime factors of 1024 and 1041.

Prime Factorization of 1024

Prime Factorization of 1041

Now multiplying the highest exponent prime factors to calculate the LCM of 1024 and 1041.

LCM(1024,1041) = 2¹⁰ × 3¹ × 347¹
LCM(1024,1041) = 1065984