What is the Least Common Multiple of 38289 and 38309?

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 38289 and 38309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38289 and 38309, than apply into the LCM equation.

GCF(38289,38309) = 1
LCM(38289,38309) = ( 38289 × 38309) / 1
LCM(38289,38309) = 1466813301 / 1
LCM(38289,38309) = 1466813301

Least Common Multiple (LCM) of 38289 and 38309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38289 and 38309. First we will calculate the prime factors of 38289 and 38309.

Prime Factorization of 38289

Prime Factorization of 38309

Now multiplying the highest exponent prime factors to calculate the LCM of 38289 and 38309.

LCM(38289,38309) = 3¹ × 12763¹ × 29¹ × 1321¹
LCM(38289,38309) = 1466813301