What is the Least Common Multiple of 29565 and 29585?

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 29565 and 29585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29565 and 29585, than apply into the LCM equation.

GCF(29565,29585) = 5
LCM(29565,29585) = ( 29565 × 29585) / 5
LCM(29565,29585) = 874680525 / 5
LCM(29565,29585) = 174936105

Least Common Multiple (LCM) of 29565 and 29585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29565 and 29585. First we will calculate the prime factors of 29565 and 29585.

Prime Factorization of 29565

Prime Factorization of 29585

Now multiplying the highest exponent prime factors to calculate the LCM of 29565 and 29585.

LCM(29565,29585) = 3⁴ × 5¹ × 73¹ × 61¹ × 97¹
LCM(29565,29585) = 174936105