Least Common Multiple of 15418 and 15423

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

• Least Common Multiple of 15418 and 15423 by Prime method
• Least Common Multiple of 15418 and 15423 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15418 and 15423. First we will calculate the prime factors of 15418 and 15423.

Prime Factorization of 15418

Prime factors of 15418 are 2, 13,593. Prime factorization of 15418 in exponential form is:

15418 = 2¹×13¹×593¹

Prime Factorization of 15423

Prime factors of 15423 are 3, 53,97. Prime factorization of 15423 in exponential form is:

15423 = 3¹×53¹×97¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15418 and 15423.

LCM(15418,15423) = 2¹×3¹×13¹×53¹×97¹×593¹
LCM(15418,15423) = 237791814

Factors of 15418

List of positive integer factors of 15418 that divides 15418 without a remainder.

1, 2, 13, 26, 593, 1186, 7709, 15418

Factors of 15423

List of positive integer factors of 15423 that divides 15423 without a remainder.

1, 3, 53, 97, 159, 291, 5141, 15423

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15418 and 15423, than apply into the LCM equation.

GCF(15418,15423) = 1
LCM(15418,15423) = ( 15418 × 15423) / 1
LCM(15418,15423) = 237791814 / 1
LCM(15418,15423) = 237791814

(i) The LCM of 15423 and 15418 is associative

LCM of 15418 and 15423 = LCM of 15423 and 15418

1. What is the LCM of 15418 and 15423?

Answer: LCM of 15418 and 15423 is 237791814.

2. What are the Factors of 15418?

Answer: Factors of 15418 are 1, 2, 13, 26, 593, 1186, 7709, 15418. There are 8 integers that are factors of 15418. The greatest factor of 15418 is 15418.

3. What are the Factors of 15423?

Answer: Factors of 15423 are 1, 3, 53, 97, 159, 291, 5141, 15423. There are 8 integers that are factors of 15423. The greatest factor of 15423 is 15423.

4. How to Find the LCM of 15418 and 15423?

Answer:

Least Common Multiple of 15418 and 15423 = 237791814

Step 1: Find the prime factorization of 15418

15418 = 2 x 13 x 593

Step 2: Find the prime factorization of 15423

15423 = 3 x 53 x 97

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

LCM = 237791814 = 2 x 3 x 13 x 53 x 97 x 593

Step 4: Therefore, the least common multiple of 15418 and 15423 is 237791814.