What is the Least Common Multiple of 50096 and 50107?

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 50096 and 50107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50096 and 50107, than apply into the LCM equation.

GCF(50096,50107) = 1
LCM(50096,50107) = ( 50096 × 50107) / 1
LCM(50096,50107) = 2510160272 / 1
LCM(50096,50107) = 2510160272

Least Common Multiple (LCM) of 50096 and 50107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50096 and 50107. First we will calculate the prime factors of 50096 and 50107.

Prime Factorization of 50096

Prime Factorization of 50107

Now multiplying the highest exponent prime factors to calculate the LCM of 50096 and 50107.

LCM(50096,50107) = 2⁴ × 31¹ × 101¹ × 89¹ × 563¹
LCM(50096,50107) = 2510160272