What is the Least Common Multiple of 50374 and 50381?

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 50374 and 50381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50374 and 50381, than apply into the LCM equation.

GCF(50374,50381) = 1
LCM(50374,50381) = ( 50374 × 50381) / 1
LCM(50374,50381) = 2537892494 / 1
LCM(50374,50381) = 2537892494

Least Common Multiple (LCM) of 50374 and 50381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50374 and 50381. First we will calculate the prime factors of 50374 and 50381.

Prime Factorization of 50374

Prime Factorization of 50381

Now multiplying the highest exponent prime factors to calculate the LCM of 50374 and 50381.

LCM(50374,50381) = 2¹ × 89¹ × 283¹ × 83¹ × 607¹
LCM(50374,50381) = 2537892494