Least Common Multiple of 36021 and 36023

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

• Least Common Multiple of 36021 and 36023 by Prime method
• Least Common Multiple of 36021 and 36023 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36021 and 36023. First we will calculate the prime factors of 36021 and 36023.

Prime Factorization of 36021

Prime factors of 36021 are 3,12007. Prime factorization of 36021 in exponential form is:

36021 = 3¹×12007¹

Prime Factorization of 36023

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

36023 = 13¹×17¹×163¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36021 and 36023.

LCM(36021,36023) = 3¹×13¹×17¹×163¹×12007¹
LCM(36021,36023) = 1297584483

Factors of 36021

List of positive integer factors of 36021 that divides 36021 without a remainder.

1, 3, 12007, 36021

Factors of 36023

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36021 and 36023, than apply into the LCM equation.

GCF(36021,36023) = 1
LCM(36021,36023) = ( 36021 × 36023) / 1
LCM(36021,36023) = 1297584483 / 1
LCM(36021,36023) = 1297584483

(i) The LCM of 36023 and 36021 is associative

LCM of 36021 and 36023 = LCM of 36023 and 36021

1. What is the LCM of 36021 and 36023?

Answer: LCM of 36021 and 36023 is 1297584483.

2. What are the Factors of 36021?

Answer: Factors of 36021 are 1, 3, 12007, 36021. There are 4 integers that are factors of 36021. The greatest factor of 36021 is 36021.

3. 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.

4. How to Find the LCM of 36021 and 36023?

Answer:

Least Common Multiple of 36021 and 36023 = 1297584483

Step 1: Find the prime factorization of 36021

36021 = 3 x 12007

Step 2: Find the prime factorization of 36023

36023 = 13 x 17 x 163

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

LCM = 1297584483 = 3 x 13 x 17 x 163 x 12007

Step 4: Therefore, the least common multiple of 36021 and 36023 is 1297584483.