What is the Least Common Multiple of 38585 and 38605?

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 38585 and 38605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38585 and 38605, than apply into the LCM equation.

GCF(38585,38605) = 5
LCM(38585,38605) = ( 38585 × 38605) / 5
LCM(38585,38605) = 1489573925 / 5
LCM(38585,38605) = 297914785

Least Common Multiple (LCM) of 38585 and 38605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38585 and 38605. First we will calculate the prime factors of 38585 and 38605.

Prime Factorization of 38585

Prime Factorization of 38605

Now multiplying the highest exponent prime factors to calculate the LCM of 38585 and 38605.

LCM(38585,38605) = 5¹ × 7717¹ × 7¹ × 1103¹
LCM(38585,38605) = 297914785