Least Common Multiple of 4005 and 4011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4005 and 4011 the smallest integer that is 5354685 that is divisible by both numbers.

Least Common Multiple (LCM) of 4005 and 4011 is 5354685.

LCM(4005,4011) = 5354685

LCM of 4005 and 4011

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

LCM of:
and

Least Common Multiple of 4005 and 4011

LCM of 4005 and 4011 is 5354685

Least common multiple can be found by multiplying the highest exponent prime factors of 4005 and 4011. First we will calculate the prime factors of 4005 and 4011.

Prime Factorization of 4005


3 4005
3 1335
5 445
89 89
1

Prime factors of 4005 are 3, 5,89. Prime factorization of 4005 in exponential form is:

4005 = 32×51×891

Prime Factorization of 4011


3 4011
7 1337
191 191
1

Prime factors of 4011 are 3, 7,191. Prime factorization of 4011 in exponential form is:

4011 = 31×71×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 4005 and 4011.

LCM(4005,4011) = 32×51×71×891×1911
LCM(4005,4011) = 5354685

Factors of 4005

List of positive integer factors of 4005 that divides 4005 without a remainder.

1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 4005

Factors of 4011

List of positive integer factors of 4011 that divides 4011 without a remainder.

1, 3, 7, 21, 191, 573, 1337, 4011

Least Common Multiple of 4005 and 4011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4005 and 4011, than apply into the LCM equation.

GCF(4005,4011) = 3
LCM(4005,4011) = ( 4005 × 4011) / 3
LCM(4005,4011) = 16064055 / 3
LCM(4005,4011) = 5354685

Properties of LCM 4005 and 4011

(i) The LCM of 4011 and 4005 is associative

LCM of 4005 and 4011 = LCM of 4011 and 4005

Related Least Common Multiples of 4005

Related Least Common Multiples of 4011

Frequently Asked Questions on LCM of 4005 and 4011

1. What is the LCM of 4005 and 4011?

Answer: LCM of 4005 and 4011 is 5354685.

2. What are the Factors of 4005?

Answer: Factors of 4005 are 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 4005. There are 12 integers that are factors of 4005. The greatest factor of 4005 is 4005.

3. What are the Factors of 4011?

Answer: Factors of 4011 are 1, 3, 7, 21, 191, 573, 1337, 4011. There are 8 integers that are factors of 4011. The greatest factor of 4011 is 4011.

4. How to Find the LCM of 4005 and 4011?

Answer:

Least Common Multiple of 4005 and 4011 = 5354685

Step 1: Find the prime factorization of 4005

4005 = 3 x 3 x 5 x 89

Step 2: Find the prime factorization of 4011

4011 = 3 x 7 x 191

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

LCM = 5354685 = 3 x 3 x 5 x 7 x 89 x 191

Step 4: Therefore, the least common multiple of 4005 and 4011 is 5354685.