Least Common Multiple of 20397 and 20402

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

• Least Common Multiple of 20397 and 20402 by Prime method
• Least Common Multiple of 20397 and 20402 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 20397 and 20402. First we will calculate the prime factors of 20397 and 20402.

Prime Factorization of 20397

Prime factors of 20397 are 3, 13,523. Prime factorization of 20397 in exponential form is:

20397 = 3¹×13¹×523¹

Prime Factorization of 20402

Prime factors of 20402 are 2,101. Prime factorization of 20402 in exponential form is:

20402 = 2¹×101²

Now multiplying the highest exponent prime factors to calculate the LCM of 20397 and 20402.

LCM(20397,20402) = 2¹×3¹×13¹×101²×523¹
LCM(20397,20402) = 416139594

Factors of 20397

List of positive integer factors of 20397 that divides 20397 without a remainder.

1, 3, 13, 39, 523, 1569, 6799, 20397

Factors of 20402

List of positive integer factors of 20402 that divides 20402 without a remainder.

1, 2, 101, 202, 10201, 20402

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20397 and 20402, than apply into the LCM equation.

GCF(20397,20402) = 1
LCM(20397,20402) = ( 20397 × 20402) / 1
LCM(20397,20402) = 416139594 / 1
LCM(20397,20402) = 416139594

(i) The LCM of 20402 and 20397 is associative

LCM of 20397 and 20402 = LCM of 20402 and 20397

1. What is the LCM of 20397 and 20402?

Answer: LCM of 20397 and 20402 is 416139594.

2. What are the Factors of 20397?

Answer: Factors of 20397 are 1, 3, 13, 39, 523, 1569, 6799, 20397. There are 8 integers that are factors of 20397. The greatest factor of 20397 is 20397.

3. What are the Factors of 20402?

Answer: Factors of 20402 are 1, 2, 101, 202, 10201, 20402. There are 6 integers that are factors of 20402. The greatest factor of 20402 is 20402.

4. How to Find the LCM of 20397 and 20402?

Answer:

Least Common Multiple of 20397 and 20402 = 416139594

Step 1: Find the prime factorization of 20397

20397 = 3 x 13 x 523

Step 2: Find the prime factorization of 20402

20402 = 2 x 101 x 101

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

LCM = 416139594 = 2 x 3 x 13 x 101 x 101 x 523

Step 4: Therefore, the least common multiple of 20397 and 20402 is 416139594.