Least Common Multiple of 36004 and 36012

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 36012 the smallest integer that is 324144012 that is divisible by both numbers.

Least Common Multiple (LCM) of 36004 and 36012 is 324144012.

LCM(36004,36012) = 324144012

LCM of 36004 and 36012

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

LCM of:
and

Least Common Multiple of 36004 and 36012

LCM of 36004 and 36012 is 324144012

Least common multiple can be found by multiplying the highest exponent prime factors of 36004 and 36012. First we will calculate the prime factors of 36004 and 36012.

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 36012


2 36012
2 18006
3 9003
3001 3001
1

Prime factors of 36012 are 2, 3,3001. Prime factorization of 36012 in exponential form is:

36012 = 22×31×30011

Now multiplying the highest exponent prime factors to calculate the LCM of 36004 and 36012.

LCM(36004,36012) = 22×31×30011×90011
LCM(36004,36012) = 324144012

Factors of 36004

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

1, 2, 4, 9001, 18002, 36004

Factors of 36012

List of positive integer factors of 36012 that divides 36012 without a remainder.

1, 2, 3, 4, 6, 12, 3001, 6002, 9003, 12004, 18006, 36012

Least Common Multiple of 36004 and 36012 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 36012, than apply into the LCM equation.

GCF(36004,36012) = 4
LCM(36004,36012) = ( 36004 × 36012) / 4
LCM(36004,36012) = 1296576048 / 4
LCM(36004,36012) = 324144012

Properties of LCM 36004 and 36012

(i) The LCM of 36012 and 36004 is associative

LCM of 36004 and 36012 = LCM of 36012 and 36004

Related Least Common Multiples of 36004

Related Least Common Multiples of 36012

Frequently Asked Questions on LCM of 36004 and 36012

1. What is the LCM of 36004 and 36012?

Answer: LCM of 36004 and 36012 is 324144012.

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 36012?

Answer: Factors of 36012 are 1, 2, 3, 4, 6, 12, 3001, 6002, 9003, 12004, 18006, 36012. There are 12 integers that are factors of 36012. The greatest factor of 36012 is 36012.

4. How to Find the LCM of 36004 and 36012?

Answer:

Least Common Multiple of 36004 and 36012 = 324144012

Step 1: Find the prime factorization of 36004

36004 = 2 x 2 x 9001

Step 2: Find the prime factorization of 36012

36012 = 2 x 2 x 3 x 3001

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

LCM = 324144012 = 2 x 2 x 3 x 3001 x 9001

Step 4: Therefore, the least common multiple of 36004 and 36012 is 324144012.