Least Common Multiple of 40055 and 40060

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

• Least Common Multiple of 40055 and 40060 by Prime method
• Least Common Multiple of 40055 and 40060 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40055 and 40060. First we will calculate the prime factors of 40055 and 40060.

Prime Factorization of 40055

Prime factors of 40055 are 5,8011. Prime factorization of 40055 in exponential form is:

40055 = 5¹×8011¹

Prime Factorization of 40060

Prime factors of 40060 are 2, 5,2003. Prime factorization of 40060 in exponential form is:

40060 = 2²×5¹×2003¹

Now multiplying the highest exponent prime factors to calculate the LCM of 40055 and 40060.

LCM(40055,40060) = 2²×5¹×2003¹×8011¹
LCM(40055,40060) = 320920660

Factors of 40055

List of positive integer factors of 40055 that divides 40055 without a remainder.

1, 5, 8011, 40055

Factors of 40060

List of positive integer factors of 40060 that divides 40060 without a remainder.

1, 2, 4, 5, 10, 20, 2003, 4006, 8012, 10015, 20030, 40060

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40055 and 40060, than apply into the LCM equation.

GCF(40055,40060) = 5
LCM(40055,40060) = ( 40055 × 40060) / 5
LCM(40055,40060) = 1604603300 / 5
LCM(40055,40060) = 320920660

(i) The LCM of 40060 and 40055 is associative

LCM of 40055 and 40060 = LCM of 40060 and 40055

1. What is the LCM of 40055 and 40060?

Answer: LCM of 40055 and 40060 is 320920660.

2. What are the Factors of 40055?

Answer: Factors of 40055 are 1, 5, 8011, 40055. There are 4 integers that are factors of 40055. The greatest factor of 40055 is 40055.

3. What are the Factors of 40060?

Answer: Factors of 40060 are 1, 2, 4, 5, 10, 20, 2003, 4006, 8012, 10015, 20030, 40060. There are 12 integers that are factors of 40060. The greatest factor of 40060 is 40060.

4. How to Find the LCM of 40055 and 40060?

Answer:

Least Common Multiple of 40055 and 40060 = 320920660

Step 1: Find the prime factorization of 40055

40055 = 5 x 8011

Step 2: Find the prime factorization of 40060

40060 = 2 x 2 x 5 x 2003

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

LCM = 320920660 = 2 x 2 x 5 x 2003 x 8011

Step 4: Therefore, the least common multiple of 40055 and 40060 is 320920660.