Least Common Multiple of 36004 and 36011

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 36011 the smallest integer that is 1296540044 that is divisible by both numbers.

Least Common Multiple (LCM) of 36004 and 36011 is 1296540044.

LCM(36004,36011) = 1296540044

LCM of 36004 and 36011

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

LCM of:
and

Least Common Multiple of 36004 and 36011

LCM of 36004 and 36011 is 1296540044

Least common multiple can be found by multiplying the highest exponent prime factors of 36004 and 36011. First we will calculate the prime factors of 36004 and 36011.

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 36011


36011 36011
1

Prime factors of 36011 are 36011. Prime factorization of 36011 in exponential form is:

36011 = 360111

Now multiplying the highest exponent prime factors to calculate the LCM of 36004 and 36011.

LCM(36004,36011) = 22×90011×360111
LCM(36004,36011) = 1296540044

Factors of 36004

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

1, 2, 4, 9001, 18002, 36004

Factors of 36011

List of positive integer factors of 36011 that divides 36011 without a remainder.

1, 36011

Least Common Multiple of 36004 and 36011 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 36011, than apply into the LCM equation.

GCF(36004,36011) = 1
LCM(36004,36011) = ( 36004 × 36011) / 1
LCM(36004,36011) = 1296540044 / 1
LCM(36004,36011) = 1296540044

Properties of LCM 36004 and 36011

(i) The LCM of 36011 and 36004 is associative

LCM of 36004 and 36011 = LCM of 36011 and 36004

Related Least Common Multiples of 36004

Related Least Common Multiples of 36011

Frequently Asked Questions on LCM of 36004 and 36011

1. What is the LCM of 36004 and 36011?

Answer: LCM of 36004 and 36011 is 1296540044.

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 36011?

Answer: Factors of 36011 are 1, 36011. There are 2 integers that are factors of 36011. The greatest factor of 36011 is 36011.

4. How to Find the LCM of 36004 and 36011?

Answer:

Least Common Multiple of 36004 and 36011 = 1296540044

Step 1: Find the prime factorization of 36004

36004 = 2 x 2 x 9001

Step 2: Find the prime factorization of 36011

36011 = 36011

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

LCM = 1296540044 = 2 x 2 x 9001 x 36011

Step 4: Therefore, the least common multiple of 36004 and 36011 is 1296540044.