What is the Least Common Multiple of 50024 and 50041?

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 50024 and 50041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50024 and 50041, than apply into the LCM equation.

GCF(50024,50041) = 1
LCM(50024,50041) = ( 50024 × 50041) / 1
LCM(50024,50041) = 2503250984 / 1
LCM(50024,50041) = 2503250984

Least Common Multiple (LCM) of 50024 and 50041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50024 and 50041. First we will calculate the prime factors of 50024 and 50041.

Prime Factorization of 50024

Prime Factorization of 50041

Now multiplying the highest exponent prime factors to calculate the LCM of 50024 and 50041.

LCM(50024,50041) = 2³ × 13² × 37¹ × 163¹ × 307¹
LCM(50024,50041) = 2503250984