Least Common Multiple of 1005 and 1013

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 1013 the smallest integer that is 1018065 that is divisible by both numbers.

Least Common Multiple (LCM) of 1005 and 1013 is 1018065.

LCM(1005,1013) = 1018065

LCM of 1005 and 1013

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

LCM of:
and

Least Common Multiple of 1005 and 1013

LCM of 1005 and 1013 is 1018065

Least common multiple can be found by multiplying the highest exponent prime factors of 1005 and 1013. First we will calculate the prime factors of 1005 and 1013.

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 1013


1013 1013
1

Prime factors of 1013 are 1013. Prime factorization of 1013 in exponential form is:

1013 = 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 1005 and 1013.

LCM(1005,1013) = 31×51×671×10131
LCM(1005,1013) = 1018065

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 1013

List of positive integer factors of 1013 that divides 1013 without a remainder.

1, 1013

Least Common Multiple of 1005 and 1013 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 1013, than apply into the LCM equation.

GCF(1005,1013) = 1
LCM(1005,1013) = ( 1005 × 1013) / 1
LCM(1005,1013) = 1018065 / 1
LCM(1005,1013) = 1018065

Properties of LCM 1005 and 1013

(i) The LCM of 1013 and 1005 is associative

LCM of 1005 and 1013 = LCM of 1013 and 1005

Related Least Common Multiples of 1005

Related Least Common Multiples of 1013

Frequently Asked Questions on LCM of 1005 and 1013

1. What is the LCM of 1005 and 1013?

Answer: LCM of 1005 and 1013 is 1018065.

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 1013?

Answer: Factors of 1013 are 1, 1013. There are 2 integers that are factors of 1013. The greatest factor of 1013 is 1013.

4. How to Find the LCM of 1005 and 1013?

Answer:

Least Common Multiple of 1005 and 1013 = 1018065

Step 1: Find the prime factorization of 1005

1005 = 3 x 5 x 67

Step 2: Find the prime factorization of 1013

1013 = 1013

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

LCM = 1018065 = 3 x 5 x 67 x 1013

Step 4: Therefore, the least common multiple of 1005 and 1013 is 1018065.