What is the Least Common Multiple of 38335 and 38341?

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 38335 and 38341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38335 and 38341, than apply into the LCM equation.

GCF(38335,38341) = 1
LCM(38335,38341) = ( 38335 × 38341) / 1
LCM(38335,38341) = 1469802235 / 1
LCM(38335,38341) = 1469802235

Least Common Multiple (LCM) of 38335 and 38341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38335 and 38341. First we will calculate the prime factors of 38335 and 38341.

Prime Factorization of 38335

Prime Factorization of 38341

Now multiplying the highest exponent prime factors to calculate the LCM of 38335 and 38341.

LCM(38335,38341) = 5¹ × 11¹ × 17¹ × 41¹ × 23¹ × 1667¹
LCM(38335,38341) = 1469802235