What is the Least Common Multiple of 50340 and 50350?

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 50350 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 50350, than apply into the LCM equation.

GCF(50340,50350) = 10
LCM(50340,50350) = ( 50340 × 50350) / 10
LCM(50340,50350) = 2534619000 / 10
LCM(50340,50350) = 253461900

Least Common Multiple (LCM) of 50340 and 50350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50340 and 50350. First we will calculate the prime factors of 50340 and 50350.

Prime Factorization of 50340

Prime Factorization of 50350

Now multiplying the highest exponent prime factors to calculate the LCM of 50340 and 50350.

LCM(50340,50350) = 2² × 3¹ × 5² × 839¹ × 19¹ × 53¹
LCM(50340,50350) = 253461900