What is the Least Common Multiple of 41024 and 41040?

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 41040 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 41040, than apply into the LCM equation.

GCF(41024,41040) = 16
LCM(41024,41040) = ( 41024 × 41040) / 16
LCM(41024,41040) = 1683624960 / 16
LCM(41024,41040) = 105226560

Least Common Multiple (LCM) of 41024 and 41040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41024 and 41040. First we will calculate the prime factors of 41024 and 41040.

Prime Factorization of 41024

Prime Factorization of 41040

Now multiplying the highest exponent prime factors to calculate the LCM of 41024 and 41040.

LCM(41024,41040) = 2⁶ × 641¹ × 3³ × 5¹ × 19¹
LCM(41024,41040) = 105226560