Least Common Multiple of 36004 and 36010

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 36010 the smallest integer that is 648252020 that is divisible by both numbers.

Least Common Multiple (LCM) of 36004 and 36010 is 648252020.

LCM(36004,36010) = 648252020

LCM of 36004 and 36010

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

LCM of:
and

Least Common Multiple of 36004 and 36010

LCM of 36004 and 36010 is 648252020

Least common multiple can be found by multiplying the highest exponent prime factors of 36004 and 36010. First we will calculate the prime factors of 36004 and 36010.

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 36010


2 36010
5 18005
13 3601
277 277
1

Prime factors of 36010 are 2, 5, 13,277. Prime factorization of 36010 in exponential form is:

36010 = 21×51×131×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 36004 and 36010.

LCM(36004,36010) = 22×51×131×2771×90011
LCM(36004,36010) = 648252020

Factors of 36004

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

1, 2, 4, 9001, 18002, 36004

Factors of 36010

List of positive integer factors of 36010 that divides 36010 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 277, 554, 1385, 2770, 3601, 7202, 18005, 36010

Least Common Multiple of 36004 and 36010 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 36010, than apply into the LCM equation.

GCF(36004,36010) = 2
LCM(36004,36010) = ( 36004 × 36010) / 2
LCM(36004,36010) = 1296504040 / 2
LCM(36004,36010) = 648252020

Properties of LCM 36004 and 36010

(i) The LCM of 36010 and 36004 is associative

LCM of 36004 and 36010 = LCM of 36010 and 36004

Related Least Common Multiples of 36004

Related Least Common Multiples of 36010

Frequently Asked Questions on LCM of 36004 and 36010

1. What is the LCM of 36004 and 36010?

Answer: LCM of 36004 and 36010 is 648252020.

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 36010?

Answer: Factors of 36010 are 1, 2, 5, 10, 13, 26, 65, 130, 277, 554, 1385, 2770, 3601, 7202, 18005, 36010. There are 16 integers that are factors of 36010. The greatest factor of 36010 is 36010.

4. How to Find the LCM of 36004 and 36010?

Answer:

Least Common Multiple of 36004 and 36010 = 648252020

Step 1: Find the prime factorization of 36004

36004 = 2 x 2 x 9001

Step 2: Find the prime factorization of 36010

36010 = 2 x 5 x 13 x 277

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

LCM = 648252020 = 2 x 2 x 5 x 13 x 277 x 9001

Step 4: Therefore, the least common multiple of 36004 and 36010 is 648252020.