What is the Least Common Multiple of 29295 and 29313?

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 29295 and 29313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29295 and 29313, than apply into the LCM equation.

GCF(29295,29313) = 9
LCM(29295,29313) = ( 29295 × 29313) / 9
LCM(29295,29313) = 858724335 / 9
LCM(29295,29313) = 95413815

Least Common Multiple (LCM) of 29295 and 29313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29295 and 29313. First we will calculate the prime factors of 29295 and 29313.

Prime Factorization of 29295

Prime Factorization of 29313

Now multiplying the highest exponent prime factors to calculate the LCM of 29295 and 29313.

LCM(29295,29313) = 3³ × 5¹ × 7¹ × 31¹ × 3257¹
LCM(29295,29313) = 95413815