GCF and LCM Calculator Logo

What is the Least Common Multiple of 50110 and 50128?

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 (LCM) of 50110 and 50128 is 1255957040.

LCM(50110,50128) = 1255957040

LCM Calculator and
and

Least Common Multiple of 50110 and 50128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50110 and 50128, than apply into the LCM equation.

GCF(50110,50128) = 2
LCM(50110,50128) = ( 50110 × 50128) / 2
LCM(50110,50128) = 2511914080 / 2
LCM(50110,50128) = 1255957040

Least Common Multiple (LCM) of 50110 and 50128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50110 and 50128. First we will calculate the prime factors of 50110 and 50128.

Prime Factorization of 50110

Prime factors of 50110 are 2, 5, 5011. Prime factorization of 50110 in exponential form is:

50110 = 21 × 51 × 50111

Prime Factorization of 50128

Prime factors of 50128 are 2, 13, 241. Prime factorization of 50128 in exponential form is:

50128 = 24 × 131 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 50110 and 50128.

LCM(50110,50128) = 24 × 51 × 50111 × 131 × 2411
LCM(50110,50128) = 1255957040