Least Common Multiple of 36001 and 36009

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

• Least Common Multiple of 36001 and 36009 by Prime method
• Least Common Multiple of 36001 and 36009 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36001 and 36009. First we will calculate the prime factors of 36001 and 36009.

Prime Factorization of 36001

Prime factors of 36001 are 7, 37,139. Prime factorization of 36001 in exponential form is:

36001 = 7¹×37¹×139¹

Prime Factorization of 36009

Prime factors of 36009 are 3,4001. Prime factorization of 36009 in exponential form is:

36009 = 3²×4001¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36001 and 36009.

LCM(36001,36009) = 3²×7¹×37¹×139¹×4001¹
LCM(36001,36009) = 1296360009

Factors of 36001

List of positive integer factors of 36001 that divides 36001 without a remainder.

1, 7, 37, 139, 259, 973, 5143, 36001

Factors of 36009

List of positive integer factors of 36009 that divides 36009 without a remainder.

1, 3, 9, 4001, 12003, 36009

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36001 and 36009, than apply into the LCM equation.

GCF(36001,36009) = 1
LCM(36001,36009) = ( 36001 × 36009) / 1
LCM(36001,36009) = 1296360009 / 1
LCM(36001,36009) = 1296360009

(i) The LCM of 36009 and 36001 is associative

LCM of 36001 and 36009 = LCM of 36009 and 36001

1. What is the LCM of 36001 and 36009?

Answer: LCM of 36001 and 36009 is 1296360009.

2. What are the Factors of 36001?

Answer: Factors of 36001 are 1, 7, 37, 139, 259, 973, 5143, 36001. There are 8 integers that are factors of 36001. The greatest factor of 36001 is 36001.

3. What are the Factors of 36009?

Answer: Factors of 36009 are 1, 3, 9, 4001, 12003, 36009. There are 6 integers that are factors of 36009. The greatest factor of 36009 is 36009.

4. How to Find the LCM of 36001 and 36009?

Answer:

Least Common Multiple of 36001 and 36009 = 1296360009

Step 1: Find the prime factorization of 36001

36001 = 7 x 37 x 139

Step 2: Find the prime factorization of 36009

36009 = 3 x 3 x 4001

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

LCM = 1296360009 = 3 x 3 x 7 x 37 x 139 x 4001

Step 4: Therefore, the least common multiple of 36001 and 36009 is 1296360009.