GCF and LCM Calculator Logo

What is the Least Common Multiple of 50473 and 50493?

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 50473 and 50493 is 2548533189.

LCM(50473,50493) = 2548533189

LCM Calculator and
and

Least Common Multiple of 50473 and 50493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50473 and 50493, than apply into the LCM equation.

GCF(50473,50493) = 1
LCM(50473,50493) = ( 50473 × 50493) / 1
LCM(50473,50493) = 2548533189 / 1
LCM(50473,50493) = 2548533189

Least Common Multiple (LCM) of 50473 and 50493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50473 and 50493. First we will calculate the prime factors of 50473 and 50493.

Prime Factorization of 50473

Prime factors of 50473 are 17, 2969. Prime factorization of 50473 in exponential form is:

50473 = 171 × 29691

Prime Factorization of 50493

Prime factors of 50493 are 3, 16831. Prime factorization of 50493 in exponential form is:

50493 = 31 × 168311

Now multiplying the highest exponent prime factors to calculate the LCM of 50473 and 50493.

LCM(50473,50493) = 171 × 29691 × 31 × 168311
LCM(50473,50493) = 2548533189