What is the Least Common Multiple of 29585 and 29605?

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 29585 and 29605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29585 and 29605, than apply into the LCM equation.

GCF(29585,29605) = 5
LCM(29585,29605) = ( 29585 × 29605) / 5
LCM(29585,29605) = 875863925 / 5
LCM(29585,29605) = 175172785

Least Common Multiple (LCM) of 29585 and 29605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29585 and 29605. First we will calculate the prime factors of 29585 and 29605.

Prime Factorization of 29585

Prime Factorization of 29605

Now multiplying the highest exponent prime factors to calculate the LCM of 29585 and 29605.

LCM(29585,29605) = 5¹ × 61¹ × 97¹ × 31¹ × 191¹
LCM(29585,29605) = 175172785