Least Common Multiple of 1012 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 1012 and 1017 the smallest integer that is 1029204 that is divisible by both numbers.

Least Common Multiple (LCM) of 1012 and 1017 is 1029204.

LCM(1012,1017) = 1029204

LCM of 1012 and 1017

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

LCM of:
and

Least Common Multiple of 1012 and 1017

LCM of 1012 and 1017 is 1029204

Least common multiple can be found by multiplying the highest exponent prime factors of 1012 and 1017. First we will calculate the prime factors of 1012 and 1017.

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 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 1012 and 1017.

LCM(1012,1017) = 22×32×111×231×1131
LCM(1012,1017) = 1029204

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 1017

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

1, 3, 9, 113, 339, 1017

Least Common Multiple of 1012 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 1012 and 1017, than apply into the LCM equation.

GCF(1012,1017) = 1
LCM(1012,1017) = ( 1012 × 1017) / 1
LCM(1012,1017) = 1029204 / 1
LCM(1012,1017) = 1029204

Properties of LCM 1012 and 1017

(i) The LCM of 1017 and 1012 is associative

LCM of 1012 and 1017 = LCM of 1017 and 1012

Related Least Common Multiples of 1012

Related Least Common Multiples of 1017

Frequently Asked Questions on LCM of 1012 and 1017

1. What is the LCM of 1012 and 1017?

Answer: LCM of 1012 and 1017 is 1029204.

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 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 1012 and 1017?

Answer:

Least Common Multiple of 1012 and 1017 = 1029204

Step 1: Find the prime factorization of 1012

1012 = 2 x 2 x 11 x 23

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 = 1029204 = 2 x 2 x 3 x 3 x 11 x 23 x 113

Step 4: Therefore, the least common multiple of 1012 and 1017 is 1029204.