Least Common Multiple of 144397 and 144402

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

• Least Common Multiple of 144397 and 144402 by Prime method
• Least Common Multiple of 144397 and 144402 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144397 and 144402. First we will calculate the prime factors of 144397 and 144402.

Prime Factorization of 144397

Prime factors of 144397 are 11,13127. Prime factorization of 144397 in exponential form is:

144397 = 11¹×13127¹

Prime Factorization of 144402

Prime factors of 144402 are 2, 3, 41,587. Prime factorization of 144402 in exponential form is:

144402 = 2¹×3¹×41¹×587¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144397 and 144402.

LCM(144397,144402) = 2¹×3¹×11¹×41¹×587¹×13127¹
LCM(144397,144402) = 20851215594

Factors of 144397

List of positive integer factors of 144397 that divides 144397 without a remainder.

1, 11, 13127, 144397

Factors of 144402

List of positive integer factors of 144402 that divides 144402 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 587, 1174, 1761, 3522, 24067, 48134, 72201, 144402

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144397 and 144402, than apply into the LCM equation.

GCF(144397,144402) = 1
LCM(144397,144402) = ( 144397 × 144402) / 1
LCM(144397,144402) = 20851215594 / 1
LCM(144397,144402) = 20851215594

(i) The LCM of 144402 and 144397 is associative

LCM of 144397 and 144402 = LCM of 144402 and 144397

1. What is the LCM of 144397 and 144402?

Answer: LCM of 144397 and 144402 is 20851215594.

2. What are the Factors of 144397?

Answer: Factors of 144397 are 1, 11, 13127, 144397. There are 4 integers that are factors of 144397. The greatest factor of 144397 is 144397.

3. What are the Factors of 144402?

Answer: Factors of 144402 are 1, 2, 3, 6, 41, 82, 123, 246, 587, 1174, 1761, 3522, 24067, 48134, 72201, 144402. There are 16 integers that are factors of 144402. The greatest factor of 144402 is 144402.

4. How to Find the LCM of 144397 and 144402?

Answer:

Least Common Multiple of 144397 and 144402 = 20851215594

Step 1: Find the prime factorization of 144397

144397 = 11 x 13127

Step 2: Find the prime factorization of 144402

144402 = 2 x 3 x 41 x 587

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

LCM = 20851215594 = 2 x 3 x 11 x 41 x 587 x 13127

Step 4: Therefore, the least common multiple of 144397 and 144402 is 20851215594.