What is the Least Common Multiple of 50030 and 50038?

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 50030 and 50038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50030 and 50038, than apply into the LCM equation.

GCF(50030,50038) = 2
LCM(50030,50038) = ( 50030 × 50038) / 2
LCM(50030,50038) = 2503401140 / 2
LCM(50030,50038) = 1251700570

Least Common Multiple (LCM) of 50030 and 50038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50030 and 50038. First we will calculate the prime factors of 50030 and 50038.

Prime Factorization of 50030

Prime Factorization of 50038

Now multiplying the highest exponent prime factors to calculate the LCM of 50030 and 50038.

LCM(50030,50038) = 2¹ × 5¹ × 5003¹ × 127¹ × 197¹
LCM(50030,50038) = 1251700570