What is the Least Common Multiple of 38275 and 38291?

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 38275 and 38291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38275 and 38291, than apply into the LCM equation.

GCF(38275,38291) = 1
LCM(38275,38291) = ( 38275 × 38291) / 1
LCM(38275,38291) = 1465588025 / 1
LCM(38275,38291) = 1465588025

Least Common Multiple (LCM) of 38275 and 38291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38275 and 38291. First we will calculate the prime factors of 38275 and 38291.

Prime Factorization of 38275

Prime Factorization of 38291

Now multiplying the highest exponent prime factors to calculate the LCM of 38275 and 38291.

LCM(38275,38291) = 5² × 1531¹ × 11¹ × 59²
LCM(38275,38291) = 1465588025