Least Common Multiple of 36023 and 36028

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

• Least Common Multiple of 36023 and 36028 by Prime method
• Least Common Multiple of 36023 and 36028 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36023 and 36028. First we will calculate the prime factors of 36023 and 36028.

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 36028

Prime factors of 36028 are 2,9007. Prime factorization of 36028 in exponential form is:

36028 = 2²×9007¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36023 and 36028.

LCM(36023,36028) = 2²×13¹×17¹×163¹×9007¹
LCM(36023,36028) = 1297836644

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 36028

List of positive integer factors of 36028 that divides 36028 without a remainder.

1, 2, 4, 9007, 18014, 36028

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36023 and 36028, than apply into the LCM equation.

GCF(36023,36028) = 1
LCM(36023,36028) = ( 36023 × 36028) / 1
LCM(36023,36028) = 1297836644 / 1
LCM(36023,36028) = 1297836644

(i) The LCM of 36028 and 36023 is associative

LCM of 36023 and 36028 = LCM of 36028 and 36023

1. What is the LCM of 36023 and 36028?

Answer: LCM of 36023 and 36028 is 1297836644.

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 36028?

Answer: Factors of 36028 are 1, 2, 4, 9007, 18014, 36028. There are 6 integers that are factors of 36028. The greatest factor of 36028 is 36028.

4. How to Find the LCM of 36023 and 36028?

Answer:

Least Common Multiple of 36023 and 36028 = 1297836644

Step 1: Find the prime factorization of 36023

36023 = 13 x 17 x 163

Step 2: Find the prime factorization of 36028

36028 = 2 x 2 x 9007

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

LCM = 1297836644 = 2 x 2 x 13 x 17 x 163 x 9007

Step 4: Therefore, the least common multiple of 36023 and 36028 is 1297836644.