What is the Least Common Multiple of 38409 and 38417?

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 38409 and 38417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38409 and 38417, than apply into the LCM equation.

GCF(38409,38417) = 1
LCM(38409,38417) = ( 38409 × 38417) / 1
LCM(38409,38417) = 1475558553 / 1
LCM(38409,38417) = 1475558553

Least Common Multiple (LCM) of 38409 and 38417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38409 and 38417. First we will calculate the prime factors of 38409 and 38417.

Prime Factorization of 38409

Prime Factorization of 38417

Now multiplying the highest exponent prime factors to calculate the LCM of 38409 and 38417.

LCM(38409,38417) = 3¹ × 7¹ × 31¹ × 59¹ × 41¹ × 937¹
LCM(38409,38417) = 1475558553