What is the Least Common Multiple of 50176 and 50182?

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 50176 and 50182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50176 and 50182, than apply into the LCM equation.

GCF(50176,50182) = 2
LCM(50176,50182) = ( 50176 × 50182) / 2
LCM(50176,50182) = 2517932032 / 2
LCM(50176,50182) = 1258966016

Least Common Multiple (LCM) of 50176 and 50182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50176 and 50182. First we will calculate the prime factors of 50176 and 50182.

Prime Factorization of 50176

Prime Factorization of 50182

Now multiplying the highest exponent prime factors to calculate the LCM of 50176 and 50182.

LCM(50176,50182) = 2¹⁰ × 7² × 11¹ × 2281¹
LCM(50176,50182) = 1258966016