What is the Least Common Multiple of 50140 and 50148?

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 50140 and 50148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50140 and 50148, than apply into the LCM equation.

GCF(50140,50148) = 4
LCM(50140,50148) = ( 50140 × 50148) / 4
LCM(50140,50148) = 2514420720 / 4
LCM(50140,50148) = 628605180

Least Common Multiple (LCM) of 50140 and 50148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50140 and 50148. First we will calculate the prime factors of 50140 and 50148.

Prime Factorization of 50140

Prime Factorization of 50148

Now multiplying the highest exponent prime factors to calculate the LCM of 50140 and 50148.

LCM(50140,50148) = 2² × 5¹ × 23¹ × 109¹ × 3² × 7¹ × 199¹
LCM(50140,50148) = 628605180