What is the Least Common Multiple of 50450 and 50466?

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 50450 and 50466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50450 and 50466, than apply into the LCM equation.

GCF(50450,50466) = 2
LCM(50450,50466) = ( 50450 × 50466) / 2
LCM(50450,50466) = 2546009700 / 2
LCM(50450,50466) = 1273004850

Least Common Multiple (LCM) of 50450 and 50466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50450 and 50466. First we will calculate the prime factors of 50450 and 50466.

Prime Factorization of 50450

Prime Factorization of 50466

Now multiplying the highest exponent prime factors to calculate the LCM of 50450 and 50466.

LCM(50450,50466) = 2¹ × 5² × 1009¹ × 3¹ × 13¹ × 647¹
LCM(50450,50466) = 1273004850