What is the Least Common Multiple of 50082 and 50099?

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 50082 and 50099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50082 and 50099, than apply into the LCM equation.

GCF(50082,50099) = 17
LCM(50082,50099) = ( 50082 × 50099) / 17
LCM(50082,50099) = 2509058118 / 17
LCM(50082,50099) = 147591654

Least Common Multiple (LCM) of 50082 and 50099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50082 and 50099. First we will calculate the prime factors of 50082 and 50099.

Prime Factorization of 50082

Prime Factorization of 50099

Now multiplying the highest exponent prime factors to calculate the LCM of 50082 and 50099.

LCM(50082,50099) = 2¹ × 3¹ × 17¹ × 491¹ × 7¹ × 421¹
LCM(50082,50099) = 147591654