Least Common Multiple of 1013 and 1017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1013 and 1017 the smallest integer that is 1030221 that is divisible by both numbers.

Least Common Multiple (LCM) of 1013 and 1017 is 1030221.

LCM(1013,1017) = 1030221

LCM of 1013 and 1017

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

LCM of:
and

Least Common Multiple of 1013 and 1017

LCM of 1013 and 1017 is 1030221

Least common multiple can be found by multiplying the highest exponent prime factors of 1013 and 1017. First we will calculate the prime factors of 1013 and 1017.

Prime Factorization of 1013


1013 1013
1

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

1013 = 10131

Prime Factorization of 1017


3 1017
3 339
113 113
1

Prime factors of 1017 are 3,113. Prime factorization of 1017 in exponential form is:

1017 = 32×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1013 and 1017.

LCM(1013,1017) = 32×1131×10131
LCM(1013,1017) = 1030221

Factors of 1013

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

1, 1013

Factors of 1017

List of positive integer factors of 1017 that divides 1017 without a remainder.

1, 3, 9, 113, 339, 1017

Least Common Multiple of 1013 and 1017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1013 and 1017, than apply into the LCM equation.

GCF(1013,1017) = 1
LCM(1013,1017) = ( 1013 × 1017) / 1
LCM(1013,1017) = 1030221 / 1
LCM(1013,1017) = 1030221

Properties of LCM 1013 and 1017

(i) The LCM of 1017 and 1013 is associative

LCM of 1013 and 1017 = LCM of 1017 and 1013

Related Least Common Multiples of 1013

Related Least Common Multiples of 1017

Frequently Asked Questions on LCM of 1013 and 1017

1. What is the LCM of 1013 and 1017?

Answer: LCM of 1013 and 1017 is 1030221.

2. 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.

3. What are the Factors of 1017?

Answer: Factors of 1017 are 1, 3, 9, 113, 339, 1017. There are 6 integers that are factors of 1017. The greatest factor of 1017 is 1017.

4. How to Find the LCM of 1013 and 1017?

Answer:

Least Common Multiple of 1013 and 1017 = 1030221

Step 1: Find the prime factorization of 1013

1013 = 1013

Step 2: Find the prime factorization of 1017

1017 = 3 x 3 x 113

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

LCM = 1030221 = 3 x 3 x 113 x 1013

Step 4: Therefore, the least common multiple of 1013 and 1017 is 1030221.