Least Common Multiple of 15402 and 15403

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

• Least Common Multiple of 15402 and 15403 by Prime method
• Least Common Multiple of 15402 and 15403 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15402 and 15403. First we will calculate the prime factors of 15402 and 15403.

Prime Factorization of 15402

Prime factors of 15402 are 2, 3, 17,151. Prime factorization of 15402 in exponential form is:

15402 = 2¹×3¹×17¹×151¹

Prime Factorization of 15403

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

15403 = 73¹×211¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15402 and 15403.

LCM(15402,15403) = 2¹×3¹×17¹×73¹×151¹×211¹
LCM(15402,15403) = 237237006

Factors of 15402

List of positive integer factors of 15402 that divides 15402 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 151, 302, 453, 906, 2567, 5134, 7701, 15402

Factors of 15403

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

1, 73, 211, 15403

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15402 and 15403, than apply into the LCM equation.

GCF(15402,15403) = 1
LCM(15402,15403) = ( 15402 × 15403) / 1
LCM(15402,15403) = 237237006 / 1
LCM(15402,15403) = 237237006

(i) The LCM of 15403 and 15402 is associative

LCM of 15402 and 15403 = LCM of 15403 and 15402

1. What is the LCM of 15402 and 15403?

Answer: LCM of 15402 and 15403 is 237237006.

2. What are the Factors of 15402?

Answer: Factors of 15402 are 1, 2, 3, 6, 17, 34, 51, 102, 151, 302, 453, 906, 2567, 5134, 7701, 15402. There are 16 integers that are factors of 15402. The greatest factor of 15402 is 15402.

3. 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.

4. How to Find the LCM of 15402 and 15403?

Answer:

Least Common Multiple of 15402 and 15403 = 237237006

Step 1: Find the prime factorization of 15402

15402 = 2 x 3 x 17 x 151

Step 2: Find the prime factorization of 15403

15403 = 73 x 211

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

LCM = 237237006 = 2 x 3 x 17 x 73 x 151 x 211

Step 4: Therefore, the least common multiple of 15402 and 15403 is 237237006.