Least Common Multiple of 144401 and 144406

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

• Least Common Multiple of 144401 and 144406 by Prime method
• Least Common Multiple of 144401 and 144406 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144401 and 144406. First we will calculate the prime factors of 144401 and 144406.

Prime Factorization of 144401

Prime factors of 144401 are 197,733. Prime factorization of 144401 in exponential form is:

144401 = 197¹×733¹

Prime Factorization of 144406

Prime factors of 144406 are 2, 103,701. Prime factorization of 144406 in exponential form is:

144406 = 2¹×103¹×701¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144401 and 144406.

LCM(144401,144406) = 2¹×103¹×197¹×701¹×733¹
LCM(144401,144406) = 20852370806

Factors of 144401

List of positive integer factors of 144401 that divides 144401 without a remainder.

1, 197, 733, 144401

Factors of 144406

List of positive integer factors of 144406 that divides 144406 without a remainder.

1, 2, 103, 206, 701, 1402, 72203, 144406

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144401 and 144406, than apply into the LCM equation.

GCF(144401,144406) = 1
LCM(144401,144406) = ( 144401 × 144406) / 1
LCM(144401,144406) = 20852370806 / 1
LCM(144401,144406) = 20852370806

(i) The LCM of 144406 and 144401 is associative

LCM of 144401 and 144406 = LCM of 144406 and 144401

1. What is the LCM of 144401 and 144406?

Answer: LCM of 144401 and 144406 is 20852370806.

2. What are the Factors of 144401?

Answer: Factors of 144401 are 1, 197, 733, 144401. There are 4 integers that are factors of 144401. The greatest factor of 144401 is 144401.

3. What are the Factors of 144406?

Answer: Factors of 144406 are 1, 2, 103, 206, 701, 1402, 72203, 144406. There are 8 integers that are factors of 144406. The greatest factor of 144406 is 144406.

4. How to Find the LCM of 144401 and 144406?

Answer:

Least Common Multiple of 144401 and 144406 = 20852370806

Step 1: Find the prime factorization of 144401

144401 = 197 x 733

Step 2: Find the prime factorization of 144406

144406 = 2 x 103 x 701

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

LCM = 20852370806 = 2 x 103 x 197 x 701 x 733

Step 4: Therefore, the least common multiple of 144401 and 144406 is 20852370806.