What is the Least Common Multiple of 50128 and 50141?

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 50128 and 50141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50128 and 50141, than apply into the LCM equation.

GCF(50128,50141) = 13
LCM(50128,50141) = ( 50128 × 50141) / 13
LCM(50128,50141) = 2513468048 / 13
LCM(50128,50141) = 193343696

Least Common Multiple (LCM) of 50128 and 50141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50128 and 50141. First we will calculate the prime factors of 50128 and 50141.

Prime Factorization of 50128

Prime Factorization of 50141

Now multiplying the highest exponent prime factors to calculate the LCM of 50128 and 50141.

LCM(50128,50141) = 2⁴ × 13¹ × 241¹ × 7¹ × 19¹ × 29¹
LCM(50128,50141) = 193343696