Least Common Multiple of 36001 and 36008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36001 and 36008 the smallest integer that is 185189144 that is divisible by both numbers.

Least Common Multiple (LCM) of 36001 and 36008 is 185189144.

LCM(36001,36008) = 185189144

LCM of 36001 and 36008

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

LCM of:
and

Least Common Multiple of 36001 and 36008

LCM of 36001 and 36008 is 185189144

Least common multiple can be found by multiplying the highest exponent prime factors of 36001 and 36008. First we will calculate the prime factors of 36001 and 36008.

Prime Factorization of 36001


7 36001
37 5143
139 139
1

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

36001 = 71×371×1391

Prime Factorization of 36008


2 36008
2 18004
2 9002
7 4501
643 643
1

Prime factors of 36008 are 2, 7,643. Prime factorization of 36008 in exponential form is:

36008 = 23×71×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 36001 and 36008.

LCM(36001,36008) = 23×71×371×1391×6431
LCM(36001,36008) = 185189144

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 36008

List of positive integer factors of 36008 that divides 36008 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 643, 1286, 2572, 4501, 5144, 9002, 18004, 36008

Least Common Multiple of 36001 and 36008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36001 and 36008, than apply into the LCM equation.

GCF(36001,36008) = 7
LCM(36001,36008) = ( 36001 × 36008) / 7
LCM(36001,36008) = 1296324008 / 7
LCM(36001,36008) = 185189144

Properties of LCM 36001 and 36008

(i) The LCM of 36008 and 36001 is associative

LCM of 36001 and 36008 = LCM of 36008 and 36001

Related Least Common Multiples of 36001

Related Least Common Multiples of 36008

Frequently Asked Questions on LCM of 36001 and 36008

1. What is the LCM of 36001 and 36008?

Answer: LCM of 36001 and 36008 is 185189144.

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 36008?

Answer: Factors of 36008 are 1, 2, 4, 7, 8, 14, 28, 56, 643, 1286, 2572, 4501, 5144, 9002, 18004, 36008. There are 16 integers that are factors of 36008. The greatest factor of 36008 is 36008.

4. How to Find the LCM of 36001 and 36008?

Answer:

Least Common Multiple of 36001 and 36008 = 185189144

Step 1: Find the prime factorization of 36001

36001 = 7 x 37 x 139

Step 2: Find the prime factorization of 36008

36008 = 2 x 2 x 2 x 7 x 643

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

LCM = 185189144 = 2 x 2 x 2 x 7 x 37 x 139 x 643

Step 4: Therefore, the least common multiple of 36001 and 36008 is 185189144.