What is the Least Common Multiple of 38084 and 38089?

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 38084 and 38089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38084 and 38089, than apply into the LCM equation.

GCF(38084,38089) = 1
LCM(38084,38089) = ( 38084 × 38089) / 1
LCM(38084,38089) = 1450581476 / 1
LCM(38084,38089) = 1450581476

Least Common Multiple (LCM) of 38084 and 38089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38084 and 38089. First we will calculate the prime factors of 38084 and 38089.

Prime Factorization of 38084

Prime Factorization of 38089

Now multiplying the highest exponent prime factors to calculate the LCM of 38084 and 38089.

LCM(38084,38089) = 2² × 9521¹ × 41¹ × 929¹
LCM(38084,38089) = 1450581476