What is the Least Common Multiple of 41028 and 41036?

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 41028 and 41036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41028 and 41036, than apply into the LCM equation.

GCF(41028,41036) = 4
LCM(41028,41036) = ( 41028 × 41036) / 4
LCM(41028,41036) = 1683625008 / 4
LCM(41028,41036) = 420906252

Least Common Multiple (LCM) of 41028 and 41036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41028 and 41036. First we will calculate the prime factors of 41028 and 41036.

Prime Factorization of 41028

Prime Factorization of 41036

Now multiplying the highest exponent prime factors to calculate the LCM of 41028 and 41036.

LCM(41028,41036) = 2² × 3¹ × 13¹ × 263¹ × 10259¹
LCM(41028,41036) = 420906252