What is the Least Common Multiple of 50340 and 50345?

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 50340 and 50345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50340 and 50345, than apply into the LCM equation.

GCF(50340,50345) = 5
LCM(50340,50345) = ( 50340 × 50345) / 5
LCM(50340,50345) = 2534367300 / 5
LCM(50340,50345) = 506873460

Least Common Multiple (LCM) of 50340 and 50345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50340 and 50345. First we will calculate the prime factors of 50340 and 50345.

Prime Factorization of 50340

Prime Factorization of 50345

Now multiplying the highest exponent prime factors to calculate the LCM of 50340 and 50345.

LCM(50340,50345) = 2² × 3¹ × 5¹ × 839¹ × 10069¹
LCM(50340,50345) = 506873460