Least Common Multiple of 36003 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 36003 and 36008 the smallest integer that is 1296396024 that is divisible by both numbers.

Least Common Multiple (LCM) of 36003 and 36008 is 1296396024.

LCM(36003,36008) = 1296396024

LCM of 36003 and 36008

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

LCM of:
and

Least Common Multiple of 36003 and 36008

LCM of 36003 and 36008 is 1296396024

Least common multiple can be found by multiplying the highest exponent prime factors of 36003 and 36008. First we will calculate the prime factors of 36003 and 36008.

Prime Factorization of 36003


3 36003
11 12001
1091 1091
1

Prime factors of 36003 are 3, 11,1091. Prime factorization of 36003 in exponential form is:

36003 = 31×111×10911

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 36003 and 36008.

LCM(36003,36008) = 23×31×71×111×6431×10911
LCM(36003,36008) = 1296396024

Factors of 36003

List of positive integer factors of 36003 that divides 36003 without a remainder.

1, 3, 11, 33, 1091, 3273, 12001, 36003

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 36003 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 36003 and 36008, than apply into the LCM equation.

GCF(36003,36008) = 1
LCM(36003,36008) = ( 36003 × 36008) / 1
LCM(36003,36008) = 1296396024 / 1
LCM(36003,36008) = 1296396024

Properties of LCM 36003 and 36008

(i) The LCM of 36008 and 36003 is associative

LCM of 36003 and 36008 = LCM of 36008 and 36003

Related Least Common Multiples of 36003

Related Least Common Multiples of 36008

Frequently Asked Questions on LCM of 36003 and 36008

1. What is the LCM of 36003 and 36008?

Answer: LCM of 36003 and 36008 is 1296396024.

2. What are the Factors of 36003?

Answer: Factors of 36003 are 1, 3, 11, 33, 1091, 3273, 12001, 36003. There are 8 integers that are factors of 36003. The greatest factor of 36003 is 36003.

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 36003 and 36008?

Answer:

Least Common Multiple of 36003 and 36008 = 1296396024

Step 1: Find the prime factorization of 36003

36003 = 3 x 11 x 1091

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 = 1296396024 = 2 x 2 x 2 x 3 x 7 x 11 x 643 x 1091

Step 4: Therefore, the least common multiple of 36003 and 36008 is 1296396024.