Least Common Multiple of 36021 and 36022

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

• Least Common Multiple of 36021 and 36022 by Prime method
• Least Common Multiple of 36021 and 36022 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36021 and 36022. First we will calculate the prime factors of 36021 and 36022.

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 36022

Prime factors of 36022 are 2, 7, 31,83. Prime factorization of 36022 in exponential form is:

36022 = 2¹×7¹×31¹×83¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36021 and 36022.

LCM(36021,36022) = 2¹×3¹×7¹×31¹×83¹×12007¹
LCM(36021,36022) = 1297548462

Factors of 36021

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

1, 3, 12007, 36021

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36021 and 36022, than apply into the LCM equation.

GCF(36021,36022) = 1
LCM(36021,36022) = ( 36021 × 36022) / 1
LCM(36021,36022) = 1297548462 / 1
LCM(36021,36022) = 1297548462

(i) The LCM of 36022 and 36021 is associative

LCM of 36021 and 36022 = LCM of 36022 and 36021

1. What is the LCM of 36021 and 36022?

Answer: LCM of 36021 and 36022 is 1297548462.

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 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.

4. How to Find the LCM of 36021 and 36022?

Answer:

Least Common Multiple of 36021 and 36022 = 1297548462

Step 1: Find the prime factorization of 36021

36021 = 3 x 12007

Step 2: Find the prime factorization of 36022

36022 = 2 x 7 x 31 x 83

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

LCM = 1297548462 = 2 x 3 x 7 x 31 x 83 x 12007

Step 4: Therefore, the least common multiple of 36021 and 36022 is 1297548462.