What is the Least Common Multiple of 41005 and 41024?

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 41005 and 41024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41005 and 41024, than apply into the LCM equation.

GCF(41005,41024) = 1
LCM(41005,41024) = ( 41005 × 41024) / 1
LCM(41005,41024) = 1682189120 / 1
LCM(41005,41024) = 1682189120

Least Common Multiple (LCM) of 41005 and 41024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41005 and 41024. First we will calculate the prime factors of 41005 and 41024.

Prime Factorization of 41005

Prime Factorization of 41024

Now multiplying the highest exponent prime factors to calculate the LCM of 41005 and 41024.

LCM(41005,41024) = 5¹ × 59¹ × 139¹ × 2⁶ × 641¹
LCM(41005,41024) = 1682189120