Least Common Multiple of 1013 and 1020

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 1020 the smallest integer that is 1033260 that is divisible by both numbers.

Least Common Multiple (LCM) of 1013 and 1020 is 1033260.

LCM(1013,1020) = 1033260

LCM of 1013 and 1020

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

LCM of:
and

Least Common Multiple of 1013 and 1020

LCM of 1013 and 1020 is 1033260

Least common multiple can be found by multiplying the highest exponent prime factors of 1013 and 1020. First we will calculate the prime factors of 1013 and 1020.

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 1020


2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 1020 are 2, 3, 5,17. Prime factorization of 1020 in exponential form is:

1020 = 22×31×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1013 and 1020.

LCM(1013,1020) = 22×31×51×171×10131
LCM(1013,1020) = 1033260

Factors of 1013

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

1, 1013

Factors of 1020

List of positive integer factors of 1020 that divides 1020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020

Least Common Multiple of 1013 and 1020 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 1020, than apply into the LCM equation.

GCF(1013,1020) = 1
LCM(1013,1020) = ( 1013 × 1020) / 1
LCM(1013,1020) = 1033260 / 1
LCM(1013,1020) = 1033260

Properties of LCM 1013 and 1020

(i) The LCM of 1020 and 1013 is associative

LCM of 1013 and 1020 = LCM of 1020 and 1013

Related Least Common Multiples of 1013

Related Least Common Multiples of 1020

Frequently Asked Questions on LCM of 1013 and 1020

1. What is the LCM of 1013 and 1020?

Answer: LCM of 1013 and 1020 is 1033260.

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 1020?

Answer: Factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020. There are 24 integers that are factors of 1020. The greatest factor of 1020 is 1020.

4. How to Find the LCM of 1013 and 1020?

Answer:

Least Common Multiple of 1013 and 1020 = 1033260

Step 1: Find the prime factorization of 1013

1013 = 1013

Step 2: Find the prime factorization of 1020

1020 = 2 x 2 x 3 x 5 x 17

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

LCM = 1033260 = 2 x 2 x 3 x 5 x 17 x 1013

Step 4: Therefore, the least common multiple of 1013 and 1020 is 1033260.