What is the Least Common Multiple of 50130 and 50142?

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 50130 and 50142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50130 and 50142, than apply into the LCM equation.

GCF(50130,50142) = 6
LCM(50130,50142) = ( 50130 × 50142) / 6
LCM(50130,50142) = 2513618460 / 6
LCM(50130,50142) = 418936410

Least Common Multiple (LCM) of 50130 and 50142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50130 and 50142. First we will calculate the prime factors of 50130 and 50142.

Prime Factorization of 50130

Prime Factorization of 50142

Now multiplying the highest exponent prime factors to calculate the LCM of 50130 and 50142.

LCM(50130,50142) = 2¹ × 3² × 5¹ × 557¹ × 61¹ × 137¹
LCM(50130,50142) = 418936410