Least Common Multiple of 36023 and 36027

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

• Least Common Multiple of 36023 and 36027 by Prime method
• Least Common Multiple of 36023 and 36027 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36023 and 36027. First we will calculate the prime factors of 36023 and 36027.

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 36027

Prime factors of 36027 are 3,4003. Prime factorization of 36027 in exponential form is:

36027 = 3²×4003¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36023 and 36027.

LCM(36023,36027) = 3²×13¹×17¹×163¹×4003¹
LCM(36023,36027) = 1297800621

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 36027

List of positive integer factors of 36027 that divides 36027 without a remainder.

1, 3, 9, 4003, 12009, 36027

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36023 and 36027, than apply into the LCM equation.

GCF(36023,36027) = 1
LCM(36023,36027) = ( 36023 × 36027) / 1
LCM(36023,36027) = 1297800621 / 1
LCM(36023,36027) = 1297800621

(i) The LCM of 36027 and 36023 is associative

LCM of 36023 and 36027 = LCM of 36027 and 36023

1. What is the LCM of 36023 and 36027?

Answer: LCM of 36023 and 36027 is 1297800621.

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 36027?

Answer: Factors of 36027 are 1, 3, 9, 4003, 12009, 36027. There are 6 integers that are factors of 36027. The greatest factor of 36027 is 36027.

4. How to Find the LCM of 36023 and 36027?

Answer:

Least Common Multiple of 36023 and 36027 = 1297800621

Step 1: Find the prime factorization of 36023

36023 = 13 x 17 x 163

Step 2: Find the prime factorization of 36027

36027 = 3 x 3 x 4003

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

LCM = 1297800621 = 3 x 3 x 13 x 17 x 163 x 4003

Step 4: Therefore, the least common multiple of 36023 and 36027 is 1297800621.