Least Common Multiple of 36001 and 36002

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

• Least Common Multiple of 36001 and 36002 by Prime method
• Least Common Multiple of 36001 and 36002 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36001 and 36002. First we will calculate the prime factors of 36001 and 36002.

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 36002

Prime factors of 36002 are 2, 47,383. Prime factorization of 36002 in exponential form is:

36002 = 2¹×47¹×383¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36001 and 36002.

LCM(36001,36002) = 2¹×7¹×37¹×47¹×139¹×383¹
LCM(36001,36002) = 1296108002

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 36002

List of positive integer factors of 36002 that divides 36002 without a remainder.

1, 2, 47, 94, 383, 766, 18001, 36002

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36001 and 36002, than apply into the LCM equation.

GCF(36001,36002) = 1
LCM(36001,36002) = ( 36001 × 36002) / 1
LCM(36001,36002) = 1296108002 / 1
LCM(36001,36002) = 1296108002

(i) The LCM of 36002 and 36001 is associative

LCM of 36001 and 36002 = LCM of 36002 and 36001

1. What is the LCM of 36001 and 36002?

Answer: LCM of 36001 and 36002 is 1296108002.

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 36002?

Answer: Factors of 36002 are 1, 2, 47, 94, 383, 766, 18001, 36002. There are 8 integers that are factors of 36002. The greatest factor of 36002 is 36002.

4. How to Find the LCM of 36001 and 36002?

Answer:

Least Common Multiple of 36001 and 36002 = 1296108002

Step 1: Find the prime factorization of 36001

36001 = 7 x 37 x 139

Step 2: Find the prime factorization of 36002

36002 = 2 x 47 x 383

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

LCM = 1296108002 = 2 x 7 x 37 x 47 x 139 x 383

Step 4: Therefore, the least common multiple of 36001 and 36002 is 1296108002.