Least Common Multiple of 36023 and 36029

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

• Least Common Multiple of 36023 and 36029 by Prime method
• Least Common Multiple of 36023 and 36029 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36023 and 36029. First we will calculate the prime factors of 36023 and 36029.

Prime Factorization of 36023

Prime factors of 36023 are 13, 17,163. Prime factorization of 36023 in exponential form is:

36023 = 13¹×17¹×163¹

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 36023 and 36029.

LCM(36023,36029) = 7¹×13¹×17¹×163¹×5147¹
LCM(36023,36029) = 1297872667

Factors of 36023

List of positive integer factors of 36023 that divides 36023 without a remainder.

1, 13, 17, 163, 221, 2119, 2771, 36023

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 36023 and 36029, than apply into the LCM equation.

GCF(36023,36029) = 1
LCM(36023,36029) = ( 36023 × 36029) / 1
LCM(36023,36029) = 1297872667 / 1
LCM(36023,36029) = 1297872667

(i) The LCM of 36029 and 36023 is associative

LCM of 36023 and 36029 = LCM of 36029 and 36023

1. What is the LCM of 36023 and 36029?

Answer: LCM of 36023 and 36029 is 1297872667.

2. What are the Factors of 36023?

Answer: Factors of 36023 are 1, 13, 17, 163, 221, 2119, 2771, 36023. There are 8 integers that are factors of 36023. The greatest factor of 36023 is 36023.

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 36023 and 36029?

Answer:

Least Common Multiple of 36023 and 36029 = 1297872667

Step 1: Find the prime factorization of 36023

36023 = 13 x 17 x 163

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 = 1297872667 = 7 x 13 x 17 x 163 x 5147

Step 4: Therefore, the least common multiple of 36023 and 36029 is 1297872667.