Least Common Multiple of 15371 and 15378

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

• Least Common Multiple of 15371 and 15378 by Prime method
• Least Common Multiple of 15371 and 15378 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15371 and 15378. First we will calculate the prime factors of 15371 and 15378.

Prime Factorization of 15371

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

15371 = 19¹×809¹

Prime Factorization of 15378

Prime factors of 15378 are 2, 3, 11,233. Prime factorization of 15378 in exponential form is:

15378 = 2¹×3¹×11¹×233¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15371 and 15378.

LCM(15371,15378) = 2¹×3¹×11¹×19¹×233¹×809¹
LCM(15371,15378) = 236375238

Factors of 15371

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

1, 19, 809, 15371

Factors of 15378

List of positive integer factors of 15378 that divides 15378 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 233, 466, 699, 1398, 2563, 5126, 7689, 15378

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15371 and 15378, than apply into the LCM equation.

GCF(15371,15378) = 1
LCM(15371,15378) = ( 15371 × 15378) / 1
LCM(15371,15378) = 236375238 / 1
LCM(15371,15378) = 236375238

(i) The LCM of 15378 and 15371 is associative

LCM of 15371 and 15378 = LCM of 15378 and 15371

1. What is the LCM of 15371 and 15378?

Answer: LCM of 15371 and 15378 is 236375238.

2. 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.

3. What are the Factors of 15378?

Answer: Factors of 15378 are 1, 2, 3, 6, 11, 22, 33, 66, 233, 466, 699, 1398, 2563, 5126, 7689, 15378. There are 16 integers that are factors of 15378. The greatest factor of 15378 is 15378.

4. How to Find the LCM of 15371 and 15378?

Answer:

Least Common Multiple of 15371 and 15378 = 236375238

Step 1: Find the prime factorization of 15371

15371 = 19 x 809

Step 2: Find the prime factorization of 15378

15378 = 2 x 3 x 11 x 233

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

LCM = 236375238 = 2 x 3 x 11 x 19 x 233 x 809

Step 4: Therefore, the least common multiple of 15371 and 15378 is 236375238.