Least Common Multiple of 4005 and 4008

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 4008 the smallest integer that is 5350680 that is divisible by both numbers.

Least Common Multiple (LCM) of 4005 and 4008 is 5350680.

LCM(4005,4008) = 5350680

LCM of 4005 and 4008

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

LCM of:
and

Least Common Multiple of 4005 and 4008

LCM of 4005 and 4008 is 5350680

Least common multiple can be found by multiplying the highest exponent prime factors of 4005 and 4008. First we will calculate the prime factors of 4005 and 4008.

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 4008


2 4008
2 2004
2 1002
3 501
167 167
1

Prime factors of 4008 are 2, 3,167. Prime factorization of 4008 in exponential form is:

4008 = 23×31×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 4005 and 4008.

LCM(4005,4008) = 23×32×51×891×1671
LCM(4005,4008) = 5350680

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 4008

List of positive integer factors of 4008 that divides 4008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 4008

Least Common Multiple of 4005 and 4008 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 4008, than apply into the LCM equation.

GCF(4005,4008) = 3
LCM(4005,4008) = ( 4005 × 4008) / 3
LCM(4005,4008) = 16052040 / 3
LCM(4005,4008) = 5350680

Properties of LCM 4005 and 4008

(i) The LCM of 4008 and 4005 is associative

LCM of 4005 and 4008 = LCM of 4008 and 4005

Related Least Common Multiples of 4005

Related Least Common Multiples of 4008

Frequently Asked Questions on LCM of 4005 and 4008

1. What is the LCM of 4005 and 4008?

Answer: LCM of 4005 and 4008 is 5350680.

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 4008?

Answer: Factors of 4008 are 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 4008. There are 16 integers that are factors of 4008. The greatest factor of 4008 is 4008.

4. How to Find the LCM of 4005 and 4008?

Answer:

Least Common Multiple of 4005 and 4008 = 5350680

Step 1: Find the prime factorization of 4005

4005 = 3 x 3 x 5 x 89

Step 2: Find the prime factorization of 4008

4008 = 2 x 2 x 2 x 3 x 167

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

LCM = 5350680 = 2 x 2 x 2 x 3 x 3 x 5 x 89 x 167

Step 4: Therefore, the least common multiple of 4005 and 4008 is 5350680.