Least Common Multiple of 15403 and 15410

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

• Least Common Multiple of 15403 and 15410 by Prime method
• Least Common Multiple of 15403 and 15410 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15403 and 15410. First we will calculate the prime factors of 15403 and 15410.

Prime Factorization of 15403

Prime factors of 15403 are 73,211. Prime factorization of 15403 in exponential form is:

15403 = 73¹×211¹

Prime Factorization of 15410

Prime factors of 15410 are 2, 5, 23,67. Prime factorization of 15410 in exponential form is:

15410 = 2¹×5¹×23¹×67¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15403 and 15410.

LCM(15403,15410) = 2¹×5¹×23¹×67¹×73¹×211¹
LCM(15403,15410) = 237360230

Factors of 15403

List of positive integer factors of 15403 that divides 15403 without a remainder.

1, 73, 211, 15403

Factors of 15410

List of positive integer factors of 15410 that divides 15410 without a remainder.

1, 2, 5, 10, 23, 46, 67, 115, 134, 230, 335, 670, 1541, 3082, 7705, 15410

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15403 and 15410, than apply into the LCM equation.

GCF(15403,15410) = 1
LCM(15403,15410) = ( 15403 × 15410) / 1
LCM(15403,15410) = 237360230 / 1
LCM(15403,15410) = 237360230

(i) The LCM of 15410 and 15403 is associative

LCM of 15403 and 15410 = LCM of 15410 and 15403

1. What is the LCM of 15403 and 15410?

Answer: LCM of 15403 and 15410 is 237360230.

2. What are the Factors of 15403?

Answer: Factors of 15403 are 1, 73, 211, 15403. There are 4 integers that are factors of 15403. The greatest factor of 15403 is 15403.

3. What are the Factors of 15410?

Answer: Factors of 15410 are 1, 2, 5, 10, 23, 46, 67, 115, 134, 230, 335, 670, 1541, 3082, 7705, 15410. There are 16 integers that are factors of 15410. The greatest factor of 15410 is 15410.

4. How to Find the LCM of 15403 and 15410?

Answer:

Least Common Multiple of 15403 and 15410 = 237360230

Step 1: Find the prime factorization of 15403

15403 = 73 x 211

Step 2: Find the prime factorization of 15410

15410 = 2 x 5 x 23 x 67

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

LCM = 237360230 = 2 x 5 x 23 x 67 x 73 x 211

Step 4: Therefore, the least common multiple of 15403 and 15410 is 237360230.