What is the Least Common Multiple of 41024 and 41028?

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 41024 and 41028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41024 and 41028, than apply into the LCM equation.

GCF(41024,41028) = 4
LCM(41024,41028) = ( 41024 × 41028) / 4
LCM(41024,41028) = 1683132672 / 4
LCM(41024,41028) = 420783168

Least Common Multiple (LCM) of 41024 and 41028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41024 and 41028. First we will calculate the prime factors of 41024 and 41028.

Prime Factorization of 41024

Prime Factorization of 41028

Now multiplying the highest exponent prime factors to calculate the LCM of 41024 and 41028.

LCM(41024,41028) = 2⁶ × 641¹ × 3¹ × 13¹ × 263¹
LCM(41024,41028) = 420783168