GCF and LCM Calculator Logo

What is the Least Common Multiple of 50243 and 50253?

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 50243 and 50253 is 2524861479.

LCM(50243,50253) = 2524861479

LCM Calculator and
and

Least Common Multiple of 50243 and 50253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50243 and 50253, than apply into the LCM equation.

GCF(50243,50253) = 1
LCM(50243,50253) = ( 50243 × 50253) / 1
LCM(50243,50253) = 2524861479 / 1
LCM(50243,50253) = 2524861479

Least Common Multiple (LCM) of 50243 and 50253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50243 and 50253. First we will calculate the prime factors of 50243 and 50253.

Prime Factorization of 50243

Prime factors of 50243 are 47, 1069. Prime factorization of 50243 in exponential form is:

50243 = 471 × 10691

Prime Factorization of 50253

Prime factors of 50253 are 3, 7, 2393. Prime factorization of 50253 in exponential form is:

50253 = 31 × 71 × 23931

Now multiplying the highest exponent prime factors to calculate the LCM of 50243 and 50253.

LCM(50243,50253) = 471 × 10691 × 31 × 71 × 23931
LCM(50243,50253) = 2524861479