What is the Least Common Multiple of 29315 and 29335?

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 29315 and 29335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29315 and 29335, than apply into the LCM equation.

GCF(29315,29335) = 5
LCM(29315,29335) = ( 29315 × 29335) / 5
LCM(29315,29335) = 859955525 / 5
LCM(29315,29335) = 171991105

Least Common Multiple (LCM) of 29315 and 29335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29315 and 29335. First we will calculate the prime factors of 29315 and 29335.

Prime Factorization of 29315

Prime Factorization of 29335

Now multiplying the highest exponent prime factors to calculate the LCM of 29315 and 29335.

LCM(29315,29335) = 5¹ × 11¹ × 13¹ × 41¹ × 5867¹
LCM(29315,29335) = 171991105