Least Common Multiple of 36022 and 36027

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

• Least Common Multiple of 36022 and 36027 by Prime method
• Least Common Multiple of 36022 and 36027 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36022 and 36027. First we will calculate the prime factors of 36022 and 36027.

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 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 36022 and 36027.

LCM(36022,36027) = 2¹×3²×7¹×31¹×83¹×4003¹
LCM(36022,36027) = 1297764594

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 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 36022 and 36027, than apply into the LCM equation.

GCF(36022,36027) = 1
LCM(36022,36027) = ( 36022 × 36027) / 1
LCM(36022,36027) = 1297764594 / 1
LCM(36022,36027) = 1297764594

(i) The LCM of 36027 and 36022 is associative

LCM of 36022 and 36027 = LCM of 36027 and 36022

1. What is the LCM of 36022 and 36027?

Answer: LCM of 36022 and 36027 is 1297764594.

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 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 36022 and 36027?

Answer:

Least Common Multiple of 36022 and 36027 = 1297764594

Step 1: Find the prime factorization of 36022

36022 = 2 x 7 x 31 x 83

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 = 1297764594 = 2 x 3 x 3 x 7 x 31 x 83 x 4003

Step 4: Therefore, the least common multiple of 36022 and 36027 is 1297764594.