Least Common Multiple of 1005 and 1011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1005 and 1011 the smallest integer that is 338685 that is divisible by both numbers.

Least Common Multiple (LCM) of 1005 and 1011 is 338685.

LCM(1005,1011) = 338685

LCM of 1005 and 1011

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

LCM of:
and

Least Common Multiple of 1005 and 1011

LCM of 1005 and 1011 is 338685

Least common multiple can be found by multiplying the highest exponent prime factors of 1005 and 1011. First we will calculate the prime factors of 1005 and 1011.

Prime Factorization of 1005


3 1005
5 335
67 67
1

Prime factors of 1005 are 3, 5,67. Prime factorization of 1005 in exponential form is:

1005 = 31×51×671

Prime Factorization of 1011


3 1011
337 337
1

Prime factors of 1011 are 3,337. Prime factorization of 1011 in exponential form is:

1011 = 31×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 1005 and 1011.

LCM(1005,1011) = 31×51×671×3371
LCM(1005,1011) = 338685

Factors of 1005

List of positive integer factors of 1005 that divides 1005 without a remainder.

1, 3, 5, 15, 67, 201, 335, 1005

Factors of 1011

List of positive integer factors of 1011 that divides 1011 without a remainder.

1, 3, 337, 1011

Least Common Multiple of 1005 and 1011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1005 and 1011, than apply into the LCM equation.

GCF(1005,1011) = 3
LCM(1005,1011) = ( 1005 × 1011) / 3
LCM(1005,1011) = 1016055 / 3
LCM(1005,1011) = 338685

Properties of LCM 1005 and 1011

(i) The LCM of 1011 and 1005 is associative

LCM of 1005 and 1011 = LCM of 1011 and 1005

Related Least Common Multiples of 1005

Related Least Common Multiples of 1011

Frequently Asked Questions on LCM of 1005 and 1011

1. What is the LCM of 1005 and 1011?

Answer: LCM of 1005 and 1011 is 338685.

2. What are the Factors of 1005?

Answer: Factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005. There are 8 integers that are factors of 1005. The greatest factor of 1005 is 1005.

3. What are the Factors of 1011?

Answer: Factors of 1011 are 1, 3, 337, 1011. There are 4 integers that are factors of 1011. The greatest factor of 1011 is 1011.

4. How to Find the LCM of 1005 and 1011?

Answer:

Least Common Multiple of 1005 and 1011 = 338685

Step 1: Find the prime factorization of 1005

1005 = 3 x 5 x 67

Step 2: Find the prime factorization of 1011

1011 = 3 x 337

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

LCM = 338685 = 3 x 5 x 67 x 337

Step 4: Therefore, the least common multiple of 1005 and 1011 is 338685.