Least Common Multiple of 36001 and 36005

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

• Least Common Multiple of 36001 and 36005 by Prime method
• Least Common Multiple of 36001 and 36005 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36001 and 36005. First we will calculate the prime factors of 36001 and 36005.

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 36005

Prime factors of 36005 are 5, 19,379. Prime factorization of 36005 in exponential form is:

36005 = 5¹×19¹×379¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36001 and 36005.

LCM(36001,36005) = 5¹×7¹×19¹×37¹×139¹×379¹
LCM(36001,36005) = 1296216005

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 36005

List of positive integer factors of 36005 that divides 36005 without a remainder.

1, 5, 19, 95, 379, 1895, 7201, 36005

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36001 and 36005, than apply into the LCM equation.

GCF(36001,36005) = 1
LCM(36001,36005) = ( 36001 × 36005) / 1
LCM(36001,36005) = 1296216005 / 1
LCM(36001,36005) = 1296216005

(i) The LCM of 36005 and 36001 is associative

LCM of 36001 and 36005 = LCM of 36005 and 36001

1. What is the LCM of 36001 and 36005?

Answer: LCM of 36001 and 36005 is 1296216005.

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 36005?

Answer: Factors of 36005 are 1, 5, 19, 95, 379, 1895, 7201, 36005. There are 8 integers that are factors of 36005. The greatest factor of 36005 is 36005.

4. How to Find the LCM of 36001 and 36005?

Answer:

Least Common Multiple of 36001 and 36005 = 1296216005

Step 1: Find the prime factorization of 36001

36001 = 7 x 37 x 139

Step 2: Find the prime factorization of 36005

36005 = 5 x 19 x 379

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

LCM = 1296216005 = 5 x 7 x 19 x 37 x 139 x 379

Step 4: Therefore, the least common multiple of 36001 and 36005 is 1296216005.