What is the Least Common Multiple of 29310 and 29315?

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 29310 and 29315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29310 and 29315, than apply into the LCM equation.

GCF(29310,29315) = 5
LCM(29310,29315) = ( 29310 × 29315) / 5
LCM(29310,29315) = 859222650 / 5
LCM(29310,29315) = 171844530

Least Common Multiple (LCM) of 29310 and 29315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29310 and 29315. First we will calculate the prime factors of 29310 and 29315.

Prime Factorization of 29310

Prime Factorization of 29315

Now multiplying the highest exponent prime factors to calculate the LCM of 29310 and 29315.

LCM(29310,29315) = 2¹ × 3¹ × 5¹ × 977¹ × 11¹ × 13¹ × 41¹
LCM(29310,29315) = 171844530