What is the Least Common Multiple of 50270 and 50275?

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 50270 and 50275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50270 and 50275, than apply into the LCM equation.

GCF(50270,50275) = 5
LCM(50270,50275) = ( 50270 × 50275) / 5
LCM(50270,50275) = 2527324250 / 5
LCM(50270,50275) = 505464850

Least Common Multiple (LCM) of 50270 and 50275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50270 and 50275. First we will calculate the prime factors of 50270 and 50275.

Prime Factorization of 50270

Prime Factorization of 50275

Now multiplying the highest exponent prime factors to calculate the LCM of 50270 and 50275.

LCM(50270,50275) = 2¹ × 5² × 11¹ × 457¹ × 2011¹
LCM(50270,50275) = 505464850