What is the Least Common Multiple of 29110 and 29115?

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 29110 and 29115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29110 and 29115, than apply into the LCM equation.

GCF(29110,29115) = 5
LCM(29110,29115) = ( 29110 × 29115) / 5
LCM(29110,29115) = 847537650 / 5
LCM(29110,29115) = 169507530

Least Common Multiple (LCM) of 29110 and 29115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29110 and 29115. First we will calculate the prime factors of 29110 and 29115.

Prime Factorization of 29110

Prime Factorization of 29115

Now multiplying the highest exponent prime factors to calculate the LCM of 29110 and 29115.

LCM(29110,29115) = 2¹ × 5¹ × 41¹ × 71¹ × 3² × 647¹
LCM(29110,29115) = 169507530