What is the Least Common Multiple of 38089 and 38095?

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 38089 and 38095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38089 and 38095, than apply into the LCM equation.

GCF(38089,38095) = 1
LCM(38089,38095) = ( 38089 × 38095) / 1
LCM(38089,38095) = 1451000455 / 1
LCM(38089,38095) = 1451000455

Least Common Multiple (LCM) of 38089 and 38095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38089 and 38095. First we will calculate the prime factors of 38089 and 38095.

Prime Factorization of 38089

Prime Factorization of 38095

Now multiplying the highest exponent prime factors to calculate the LCM of 38089 and 38095.

LCM(38089,38095) = 41¹ × 929¹ × 5¹ × 19¹ × 401¹
LCM(38089,38095) = 1451000455