Least Common Multiple of 36001 and 36006

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

• Least Common Multiple of 36001 and 36006 by Prime method
• Least Common Multiple of 36001 and 36006 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36001 and 36006. First we will calculate the prime factors of 36001 and 36006.

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 36006

Prime factors of 36006 are 2, 3, 17,353. Prime factorization of 36006 in exponential form is:

36006 = 2¹×3¹×17¹×353¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36001 and 36006.

LCM(36001,36006) = 2¹×3¹×7¹×17¹×37¹×139¹×353¹
LCM(36001,36006) = 1296252006

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 36006

List of positive integer factors of 36006 that divides 36006 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 353, 706, 1059, 2118, 6001, 12002, 18003, 36006

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36001 and 36006, than apply into the LCM equation.

GCF(36001,36006) = 1
LCM(36001,36006) = ( 36001 × 36006) / 1
LCM(36001,36006) = 1296252006 / 1
LCM(36001,36006) = 1296252006

(i) The LCM of 36006 and 36001 is associative

LCM of 36001 and 36006 = LCM of 36006 and 36001

1. What is the LCM of 36001 and 36006?

Answer: LCM of 36001 and 36006 is 1296252006.

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 36006?

Answer: Factors of 36006 are 1, 2, 3, 6, 17, 34, 51, 102, 353, 706, 1059, 2118, 6001, 12002, 18003, 36006. There are 16 integers that are factors of 36006. The greatest factor of 36006 is 36006.

4. How to Find the LCM of 36001 and 36006?

Answer:

Least Common Multiple of 36001 and 36006 = 1296252006

Step 1: Find the prime factorization of 36001

36001 = 7 x 37 x 139

Step 2: Find the prime factorization of 36006

36006 = 2 x 3 x 17 x 353

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

LCM = 1296252006 = 2 x 3 x 7 x 17 x 37 x 139 x 353

Step 4: Therefore, the least common multiple of 36001 and 36006 is 1296252006.