Least Common Multiple of 6004 and 6011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6004 and 6011 the smallest integer that is 36090044 that is divisible by both numbers.

Least Common Multiple (LCM) of 6004 and 6011 is 36090044.

LCM(6004,6011) = 36090044

LCM of 6004 and 6011

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

LCM of:
and

Least Common Multiple of 6004 and 6011

LCM of 6004 and 6011 is 36090044

Least common multiple can be found by multiplying the highest exponent prime factors of 6004 and 6011. First we will calculate the prime factors of 6004 and 6011.

Prime Factorization of 6004


2 6004
2 3002
19 1501
79 79
1

Prime factors of 6004 are 2, 19,79. Prime factorization of 6004 in exponential form is:

6004 = 22×191×791

Prime Factorization of 6011


6011 6011
1

Prime factors of 6011 are 6011. Prime factorization of 6011 in exponential form is:

6011 = 60111

Now multiplying the highest exponent prime factors to calculate the LCM of 6004 and 6011.

LCM(6004,6011) = 22×191×791×60111
LCM(6004,6011) = 36090044

Factors of 6004

List of positive integer factors of 6004 that divides 6004 without a remainder.

1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004

Factors of 6011

List of positive integer factors of 6011 that divides 6011 without a remainder.

1, 6011

Least Common Multiple of 6004 and 6011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6004 and 6011, than apply into the LCM equation.

GCF(6004,6011) = 1
LCM(6004,6011) = ( 6004 × 6011) / 1
LCM(6004,6011) = 36090044 / 1
LCM(6004,6011) = 36090044

Properties of LCM 6004 and 6011

(i) The LCM of 6011 and 6004 is associative

LCM of 6004 and 6011 = LCM of 6011 and 6004

Related Least Common Multiples of 6004

Related Least Common Multiples of 6011

Frequently Asked Questions on LCM of 6004 and 6011

1. What is the LCM of 6004 and 6011?

Answer: LCM of 6004 and 6011 is 36090044.

2. What are the Factors of 6004?

Answer: Factors of 6004 are 1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004. There are 12 integers that are factors of 6004. The greatest factor of 6004 is 6004.

3. What are the Factors of 6011?

Answer: Factors of 6011 are 1, 6011. There are 2 integers that are factors of 6011. The greatest factor of 6011 is 6011.

4. How to Find the LCM of 6004 and 6011?

Answer:

Least Common Multiple of 6004 and 6011 = 36090044

Step 1: Find the prime factorization of 6004

6004 = 2 x 2 x 19 x 79

Step 2: Find the prime factorization of 6011

6011 = 6011

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

LCM = 36090044 = 2 x 2 x 19 x 79 x 6011

Step 4: Therefore, the least common multiple of 6004 and 6011 is 36090044.