What is the Least Common Multiple of 50224 and 50238?

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 50224 and 50238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50224 and 50238, than apply into the LCM equation.

GCF(50224,50238) = 2
LCM(50224,50238) = ( 50224 × 50238) / 2
LCM(50224,50238) = 2523153312 / 2
LCM(50224,50238) = 1261576656

Least Common Multiple (LCM) of 50224 and 50238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50224 and 50238. First we will calculate the prime factors of 50224 and 50238.

Prime Factorization of 50224

Prime Factorization of 50238

Now multiplying the highest exponent prime factors to calculate the LCM of 50224 and 50238.

LCM(50224,50238) = 2⁴ × 43¹ × 73¹ × 3² × 2791¹
LCM(50224,50238) = 1261576656