What is the Least Common Multiple of 50071 and 50089?

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 50071 and 50089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50071 and 50089, than apply into the LCM equation.

GCF(50071,50089) = 1
LCM(50071,50089) = ( 50071 × 50089) / 1
LCM(50071,50089) = 2508006319 / 1
LCM(50071,50089) = 2508006319

Least Common Multiple (LCM) of 50071 and 50089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50071 and 50089. First we will calculate the prime factors of 50071 and 50089.

Prime Factorization of 50071

Prime Factorization of 50089

Now multiplying the highest exponent prime factors to calculate the LCM of 50071 and 50089.

LCM(50071,50089) = 7¹ × 23¹ × 311¹ × 13¹ × 3853¹
LCM(50071,50089) = 2508006319