Least Common Multiple of 36003 and 36004

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 36004 the smallest integer that is 1296252012 that is divisible by both numbers.

Least Common Multiple (LCM) of 36003 and 36004 is 1296252012.

LCM(36003,36004) = 1296252012

LCM of 36003 and 36004

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

LCM of:
and

Least Common Multiple of 36003 and 36004

LCM of 36003 and 36004 is 1296252012

Least common multiple can be found by multiplying the highest exponent prime factors of 36003 and 36004. First we will calculate the prime factors of 36003 and 36004.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 36003 and 36004.

LCM(36003,36004) = 22×31×111×10911×90011
LCM(36003,36004) = 1296252012

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 36004

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

1, 2, 4, 9001, 18002, 36004

Least Common Multiple of 36003 and 36004 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 36004, than apply into the LCM equation.

GCF(36003,36004) = 1
LCM(36003,36004) = ( 36003 × 36004) / 1
LCM(36003,36004) = 1296252012 / 1
LCM(36003,36004) = 1296252012

Properties of LCM 36003 and 36004

(i) The LCM of 36004 and 36003 is associative

LCM of 36003 and 36004 = LCM of 36004 and 36003

Related Least Common Multiples of 36003

Related Least Common Multiples of 36004

Frequently Asked Questions on LCM of 36003 and 36004

1. What is the LCM of 36003 and 36004?

Answer: LCM of 36003 and 36004 is 1296252012.

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 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.

4. How to Find the LCM of 36003 and 36004?

Answer:

Least Common Multiple of 36003 and 36004 = 1296252012

Step 1: Find the prime factorization of 36003

36003 = 3 x 11 x 1091

Step 2: Find the prime factorization of 36004

36004 = 2 x 2 x 9001

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

LCM = 1296252012 = 2 x 2 x 3 x 11 x 1091 x 9001

Step 4: Therefore, the least common multiple of 36003 and 36004 is 1296252012.