What is the Least Common Multiple of 50008 and 50026?

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 50008 and 50026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50008 and 50026, than apply into the LCM equation.

GCF(50008,50026) = 2
LCM(50008,50026) = ( 50008 × 50026) / 2
LCM(50008,50026) = 2501700208 / 2
LCM(50008,50026) = 1250850104

Least Common Multiple (LCM) of 50008 and 50026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50008 and 50026. First we will calculate the prime factors of 50008 and 50026.

Prime Factorization of 50008

Prime Factorization of 50026

Now multiplying the highest exponent prime factors to calculate the LCM of 50008 and 50026.

LCM(50008,50026) = 2³ × 7¹ × 19¹ × 47¹ × 25013¹
LCM(50008,50026) = 1250850104