Least Common Multiple of 15366 and 15371

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

• Least Common Multiple of 15366 and 15371 by Prime method
• Least Common Multiple of 15366 and 15371 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15366 and 15371. First we will calculate the prime factors of 15366 and 15371.

Prime Factorization of 15366

Prime factors of 15366 are 2, 3, 13,197. Prime factorization of 15366 in exponential form is:

15366 = 2¹×3¹×13¹×197¹

Prime Factorization of 15371

Prime factors of 15371 are 19,809. Prime factorization of 15371 in exponential form is:

15371 = 19¹×809¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15366 and 15371.

LCM(15366,15371) = 2¹×3¹×13¹×19¹×197¹×809¹
LCM(15366,15371) = 236190786

Factors of 15366

List of positive integer factors of 15366 that divides 15366 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 197, 394, 591, 1182, 2561, 5122, 7683, 15366

Factors of 15371

List of positive integer factors of 15371 that divides 15371 without a remainder.

1, 19, 809, 15371

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15366 and 15371, than apply into the LCM equation.

GCF(15366,15371) = 1
LCM(15366,15371) = ( 15366 × 15371) / 1
LCM(15366,15371) = 236190786 / 1
LCM(15366,15371) = 236190786

(i) The LCM of 15371 and 15366 is associative

LCM of 15366 and 15371 = LCM of 15371 and 15366

1. What is the LCM of 15366 and 15371?

Answer: LCM of 15366 and 15371 is 236190786.

2. What are the Factors of 15366?

Answer: Factors of 15366 are 1, 2, 3, 6, 13, 26, 39, 78, 197, 394, 591, 1182, 2561, 5122, 7683, 15366. There are 16 integers that are factors of 15366. The greatest factor of 15366 is 15366.

3. What are the Factors of 15371?

Answer: Factors of 15371 are 1, 19, 809, 15371. There are 4 integers that are factors of 15371. The greatest factor of 15371 is 15371.

4. How to Find the LCM of 15366 and 15371?

Answer:

Least Common Multiple of 15366 and 15371 = 236190786

Step 1: Find the prime factorization of 15366

15366 = 2 x 3 x 13 x 197

Step 2: Find the prime factorization of 15371

15371 = 19 x 809

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

LCM = 236190786 = 2 x 3 x 13 x 19 x 197 x 809

Step 4: Therefore, the least common multiple of 15366 and 15371 is 236190786.