Least Common Multiple of 1012 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 1012 and 1020 the smallest integer that is 258060 that is divisible by both numbers.

Least Common Multiple (LCM) of 1012 and 1020 is 258060.

LCM(1012,1020) = 258060

LCM of 1012 and 1020

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

LCM of:
and

Least Common Multiple of 1012 and 1020

LCM of 1012 and 1020 is 258060

Least common multiple can be found by multiplying the highest exponent prime factors of 1012 and 1020. First we will calculate the prime factors of 1012 and 1020.

Prime Factorization of 1012


2 1012
2 506
11 253
23 23
1

Prime factors of 1012 are 2, 11,23. Prime factorization of 1012 in exponential form is:

1012 = 22×111×231

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 1012 and 1020.

LCM(1012,1020) = 22×31×51×111×171×231
LCM(1012,1020) = 258060

Factors of 1012

List of positive integer factors of 1012 that divides 1012 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012

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 1012 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 1012 and 1020, than apply into the LCM equation.

GCF(1012,1020) = 4
LCM(1012,1020) = ( 1012 × 1020) / 4
LCM(1012,1020) = 1032240 / 4
LCM(1012,1020) = 258060

Properties of LCM 1012 and 1020

(i) The LCM of 1020 and 1012 is associative

LCM of 1012 and 1020 = LCM of 1020 and 1012

Related Least Common Multiples of 1012

Related Least Common Multiples of 1020

Frequently Asked Questions on LCM of 1012 and 1020

1. What is the LCM of 1012 and 1020?

Answer: LCM of 1012 and 1020 is 258060.

2. What are the Factors of 1012?

Answer: Factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012. There are 12 integers that are factors of 1012. The greatest factor of 1012 is 1012.

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 1012 and 1020?

Answer:

Least Common Multiple of 1012 and 1020 = 258060

Step 1: Find the prime factorization of 1012

1012 = 2 x 2 x 11 x 23

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 = 258060 = 2 x 2 x 3 x 5 x 11 x 17 x 23

Step 4: Therefore, the least common multiple of 1012 and 1020 is 258060.