Least Common Multiple of 36022 and 36029

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

• Least Common Multiple of 36022 and 36029 by Prime method
• Least Common Multiple of 36022 and 36029 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36022 and 36029. First we will calculate the prime factors of 36022 and 36029.

Prime Factorization of 36022

Prime factors of 36022 are 2, 7, 31,83. Prime factorization of 36022 in exponential form is:

36022 = 2¹×7¹×31¹×83¹

Prime Factorization of 36029

Prime factors of 36029 are 7,5147. Prime factorization of 36029 in exponential form is:

36029 = 7¹×5147¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36022 and 36029.

LCM(36022,36029) = 2¹×7¹×31¹×83¹×5147¹
LCM(36022,36029) = 185405234

Factors of 36022

List of positive integer factors of 36022 that divides 36022 without a remainder.

1, 2, 7, 14, 31, 62, 83, 166, 217, 434, 581, 1162, 2573, 5146, 18011, 36022

Factors of 36029

List of positive integer factors of 36029 that divides 36029 without a remainder.

1, 7, 5147, 36029

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36022 and 36029, than apply into the LCM equation.

GCF(36022,36029) = 7
LCM(36022,36029) = ( 36022 × 36029) / 7
LCM(36022,36029) = 1297836638 / 7
LCM(36022,36029) = 185405234

(i) The LCM of 36029 and 36022 is associative

LCM of 36022 and 36029 = LCM of 36029 and 36022

1. What is the LCM of 36022 and 36029?

Answer: LCM of 36022 and 36029 is 185405234.

2. What are the Factors of 36022?

Answer: Factors of 36022 are 1, 2, 7, 14, 31, 62, 83, 166, 217, 434, 581, 1162, 2573, 5146, 18011, 36022. There are 16 integers that are factors of 36022. The greatest factor of 36022 is 36022.

3. What are the Factors of 36029?

Answer: Factors of 36029 are 1, 7, 5147, 36029. There are 4 integers that are factors of 36029. The greatest factor of 36029 is 36029.

4. How to Find the LCM of 36022 and 36029?

Answer:

Least Common Multiple of 36022 and 36029 = 185405234

Step 1: Find the prime factorization of 36022

36022 = 2 x 7 x 31 x 83

Step 2: Find the prime factorization of 36029

36029 = 7 x 5147

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

LCM = 185405234 = 2 x 7 x 31 x 83 x 5147

Step 4: Therefore, the least common multiple of 36022 and 36029 is 185405234.