Least Common Multiple of 1012 and 1018

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 1018 the smallest integer that is 515108 that is divisible by both numbers.

Least Common Multiple (LCM) of 1012 and 1018 is 515108.

LCM(1012,1018) = 515108

LCM of 1012 and 1018

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

LCM of:
and

Least Common Multiple of 1012 and 1018

LCM of 1012 and 1018 is 515108

Least common multiple can be found by multiplying the highest exponent prime factors of 1012 and 1018. First we will calculate the prime factors of 1012 and 1018.

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 1018


2 1018
509 509
1

Prime factors of 1018 are 2,509. Prime factorization of 1018 in exponential form is:

1018 = 21×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 1012 and 1018.

LCM(1012,1018) = 22×111×231×5091
LCM(1012,1018) = 515108

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 1018

List of positive integer factors of 1018 that divides 1018 without a remainder.

1, 2, 509, 1018

Least Common Multiple of 1012 and 1018 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 1018, than apply into the LCM equation.

GCF(1012,1018) = 2
LCM(1012,1018) = ( 1012 × 1018) / 2
LCM(1012,1018) = 1030216 / 2
LCM(1012,1018) = 515108

Properties of LCM 1012 and 1018

(i) The LCM of 1018 and 1012 is associative

LCM of 1012 and 1018 = LCM of 1018 and 1012

Related Least Common Multiples of 1012

Related Least Common Multiples of 1018

Frequently Asked Questions on LCM of 1012 and 1018

1. What is the LCM of 1012 and 1018?

Answer: LCM of 1012 and 1018 is 515108.

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 1018?

Answer: Factors of 1018 are 1, 2, 509, 1018. There are 4 integers that are factors of 1018. The greatest factor of 1018 is 1018.

4. How to Find the LCM of 1012 and 1018?

Answer:

Least Common Multiple of 1012 and 1018 = 515108

Step 1: Find the prime factorization of 1012

1012 = 2 x 2 x 11 x 23

Step 2: Find the prime factorization of 1018

1018 = 2 x 509

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

LCM = 515108 = 2 x 2 x 11 x 23 x 509

Step 4: Therefore, the least common multiple of 1012 and 1018 is 515108.