Least Common Multiple of 36004 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 36004 and 36008 the smallest integer that is 324108008 that is divisible by both numbers.

Least Common Multiple (LCM) of 36004 and 36008 is 324108008.

LCM(36004,36008) = 324108008

LCM of 36004 and 36008

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

LCM of:
and

Least Common Multiple of 36004 and 36008

LCM of 36004 and 36008 is 324108008

Least common multiple can be found by multiplying the highest exponent prime factors of 36004 and 36008. First we will calculate the prime factors of 36004 and 36008.

Prime Factorization of 36004


2 36004
2 18002
9001 9001
1

Prime factors of 36004 are 2,9001. Prime factorization of 36004 in exponential form is:

36004 = 22×90011

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 36004 and 36008.

LCM(36004,36008) = 23×71×6431×90011
LCM(36004,36008) = 324108008

Factors of 36004

List of positive integer factors of 36004 that divides 36004 without a remainder.

1, 2, 4, 9001, 18002, 36004

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 36004 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 36004 and 36008, than apply into the LCM equation.

GCF(36004,36008) = 4
LCM(36004,36008) = ( 36004 × 36008) / 4
LCM(36004,36008) = 1296432032 / 4
LCM(36004,36008) = 324108008

Properties of LCM 36004 and 36008

(i) The LCM of 36008 and 36004 is associative

LCM of 36004 and 36008 = LCM of 36008 and 36004

Related Least Common Multiples of 36004

Related Least Common Multiples of 36008

Frequently Asked Questions on LCM of 36004 and 36008

1. What is the LCM of 36004 and 36008?

Answer: LCM of 36004 and 36008 is 324108008.

2. What are the Factors of 36004?

Answer: Factors of 36004 are 1, 2, 4, 9001, 18002, 36004. There are 6 integers that are factors of 36004. The greatest factor of 36004 is 36004.

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 36004 and 36008?

Answer:

Least Common Multiple of 36004 and 36008 = 324108008

Step 1: Find the prime factorization of 36004

36004 = 2 x 2 x 9001

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 = 324108008 = 2 x 2 x 2 x 7 x 643 x 9001

Step 4: Therefore, the least common multiple of 36004 and 36008 is 324108008.