What is the Least Common Multiple of 38849 and 38865?

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 38849 and 38865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38849 and 38865, than apply into the LCM equation.

GCF(38849,38865) = 1
LCM(38849,38865) = ( 38849 × 38865) / 1
LCM(38849,38865) = 1509866385 / 1
LCM(38849,38865) = 1509866385

Least Common Multiple (LCM) of 38849 and 38865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38849 and 38865. First we will calculate the prime factors of 38849 and 38865.

Prime Factorization of 38849

Prime Factorization of 38865

Now multiplying the highest exponent prime factors to calculate the LCM of 38849 and 38865.

LCM(38849,38865) = 53¹ × 733¹ × 3¹ × 5¹ × 2591¹
LCM(38849,38865) = 1509866385