Least Common Multiple of 15315 and 15322

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 15315 and 15322 by Prime method
• Least Common Multiple of 15315 and 15322 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15315 and 15322. First we will calculate the prime factors of 15315 and 15322.

Prime Factorization of 15315

Prime factors of 15315 are 3, 5,1021. Prime factorization of 15315 in exponential form is:

15315 = 3¹×5¹×1021¹

Prime Factorization of 15322

Prime factors of 15322 are 2, 47,163. Prime factorization of 15322 in exponential form is:

15322 = 2¹×47¹×163¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15315 and 15322.

LCM(15315,15322) = 2¹×3¹×5¹×47¹×163¹×1021¹
LCM(15315,15322) = 234656430

Factors of 15315

List of positive integer factors of 15315 that divides 15315 without a remainder.

1, 3, 5, 15, 1021, 3063, 5105, 15315

Factors of 15322

List of positive integer factors of 15322 that divides 15322 without a remainder.

1, 2, 47, 94, 163, 326, 7661, 15322

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15315 and 15322, than apply into the LCM equation.

GCF(15315,15322) = 1
LCM(15315,15322) = ( 15315 × 15322) / 1
LCM(15315,15322) = 234656430 / 1
LCM(15315,15322) = 234656430

(i) The LCM of 15322 and 15315 is associative

LCM of 15315 and 15322 = LCM of 15322 and 15315

1. What is the LCM of 15315 and 15322?

Answer: LCM of 15315 and 15322 is 234656430.

2. What are the Factors of 15315?

Answer: Factors of 15315 are 1, 3, 5, 15, 1021, 3063, 5105, 15315. There are 8 integers that are factors of 15315. The greatest factor of 15315 is 15315.

3. What are the Factors of 15322?

Answer: Factors of 15322 are 1, 2, 47, 94, 163, 326, 7661, 15322. There are 8 integers that are factors of 15322. The greatest factor of 15322 is 15322.

4. How to Find the LCM of 15315 and 15322?

Answer:

Least Common Multiple of 15315 and 15322 = 234656430

Step 1: Find the prime factorization of 15315

15315 = 3 x 5 x 1021

Step 2: Find the prime factorization of 15322

15322 = 2 x 47 x 163

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 234656430 = 2 x 3 x 5 x 47 x 163 x 1021

Step 4: Therefore, the least common multiple of 15315 and 15322 is 234656430.