What is the Least Common Multiple of 38369 and 38381?

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 38369 and 38381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38369 and 38381, than apply into the LCM equation.

GCF(38369,38381) = 1
LCM(38369,38381) = ( 38369 × 38381) / 1
LCM(38369,38381) = 1472640589 / 1
LCM(38369,38381) = 1472640589

Least Common Multiple (LCM) of 38369 and 38381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38369 and 38381. First we will calculate the prime factors of 38369 and 38381.

Prime Factorization of 38369

Prime Factorization of 38381

Now multiplying the highest exponent prime factors to calculate the LCM of 38369 and 38381.

LCM(38369,38381) = 17¹ × 37¹ × 61¹ × 7¹ × 5483¹
LCM(38369,38381) = 1472640589