What is the Least Common Multiple of 25024 and 25041?

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 25024 and 25041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25024 and 25041, than apply into the LCM equation.

GCF(25024,25041) = 17
LCM(25024,25041) = ( 25024 × 25041) / 17
LCM(25024,25041) = 626625984 / 17
LCM(25024,25041) = 36860352

Least Common Multiple (LCM) of 25024 and 25041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25024 and 25041. First we will calculate the prime factors of 25024 and 25041.

Prime Factorization of 25024

Prime Factorization of 25041

Now multiplying the highest exponent prime factors to calculate the LCM of 25024 and 25041.

LCM(25024,25041) = 2⁶ × 17¹ × 23¹ × 3¹ × 491¹
LCM(25024,25041) = 36860352