What is the Least Common Multiple of 50082 and 50086?

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 50086 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 50086, than apply into the LCM equation.

GCF(50082,50086) = 2
LCM(50082,50086) = ( 50082 × 50086) / 2
LCM(50082,50086) = 2508407052 / 2
LCM(50082,50086) = 1254203526

Least Common Multiple (LCM) of 50082 and 50086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50082 and 50086. First we will calculate the prime factors of 50082 and 50086.

Prime Factorization of 50082

Prime Factorization of 50086

Now multiplying the highest exponent prime factors to calculate the LCM of 50082 and 50086.

LCM(50082,50086) = 2¹ × 3¹ × 17¹ × 491¹ × 79¹ × 317¹
LCM(50082,50086) = 1254203526