Least Common Multiple of 36013 and 36018

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

• Least Common Multiple of 36013 and 36018 by Prime method
• Least Common Multiple of 36013 and 36018 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36013 and 36018. First we will calculate the prime factors of 36013 and 36018.

Prime Factorization of 36013

Prime factors of 36013 are 36013. Prime factorization of 36013 in exponential form is:

36013 = 36013¹

Prime Factorization of 36018

Prime factors of 36018 are 2, 3, 23,29. Prime factorization of 36018 in exponential form is:

36018 = 2¹×3³×23¹×29¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36013 and 36018.

LCM(36013,36018) = 2¹×3³×23¹×29¹×36013¹
LCM(36013,36018) = 1297116234

Factors of 36013

List of positive integer factors of 36013 that divides 36013 without a remainder.

1, 36013

Factors of 36018

List of positive integer factors of 36018 that divides 36018 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 29, 46, 54, 58, 69, 87, 138, 174, 207, 261, 414, 522, 621, 667, 783, 1242, 1334, 1566, 2001, 4002, 6003, 12006, 18009, 36018

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36013 and 36018, than apply into the LCM equation.

GCF(36013,36018) = 1
LCM(36013,36018) = ( 36013 × 36018) / 1
LCM(36013,36018) = 1297116234 / 1
LCM(36013,36018) = 1297116234

(i) The LCM of 36018 and 36013 is associative

LCM of 36013 and 36018 = LCM of 36018 and 36013

1. What is the LCM of 36013 and 36018?

Answer: LCM of 36013 and 36018 is 1297116234.

2. What are the Factors of 36013?

Answer: Factors of 36013 are 1, 36013. There are 2 integers that are factors of 36013. The greatest factor of 36013 is 36013.

3. What are the Factors of 36018?

Answer: Factors of 36018 are 1, 2, 3, 6, 9, 18, 23, 27, 29, 46, 54, 58, 69, 87, 138, 174, 207, 261, 414, 522, 621, 667, 783, 1242, 1334, 1566, 2001, 4002, 6003, 12006, 18009, 36018. There are 32 integers that are factors of 36018. The greatest factor of 36018 is 36018.

4. How to Find the LCM of 36013 and 36018?

Answer:

Least Common Multiple of 36013 and 36018 = 1297116234

Step 1: Find the prime factorization of 36013

36013 = 36013

Step 2: Find the prime factorization of 36018

36018 = 2 x 3 x 3 x 3 x 23 x 29

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

LCM = 1297116234 = 2 x 3 x 3 x 3 x 23 x 29 x 36013

Step 4: Therefore, the least common multiple of 36013 and 36018 is 1297116234.