What is the Least Common Multiple of 50229 and 50243?

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 50229 and 50243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50229 and 50243, than apply into the LCM equation.

GCF(50229,50243) = 1
LCM(50229,50243) = ( 50229 × 50243) / 1
LCM(50229,50243) = 2523655647 / 1
LCM(50229,50243) = 2523655647

Least Common Multiple (LCM) of 50229 and 50243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50229 and 50243. First we will calculate the prime factors of 50229 and 50243.

Prime Factorization of 50229

Prime Factorization of 50243

Now multiplying the highest exponent prime factors to calculate the LCM of 50229 and 50243.

LCM(50229,50243) = 3² × 5581¹ × 47¹ × 1069¹
LCM(50229,50243) = 2523655647