Least Common Multiple of 1014 and 1022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1014 and 1022 the smallest integer that is 518154 that is divisible by both numbers.

Least Common Multiple (LCM) of 1014 and 1022 is 518154.

LCM(1014,1022) = 518154

LCM of 1014 and 1022

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

LCM of:
and

Least Common Multiple of 1014 and 1022

LCM of 1014 and 1022 is 518154

Least common multiple can be found by multiplying the highest exponent prime factors of 1014 and 1022. First we will calculate the prime factors of 1014 and 1022.

Prime Factorization of 1014


2 1014
3 507
13 169
13 13
1

Prime factors of 1014 are 2, 3,13. Prime factorization of 1014 in exponential form is:

1014 = 21×31×132

Prime Factorization of 1022


2 1022
7 511
73 73
1

Prime factors of 1022 are 2, 7,73. Prime factorization of 1022 in exponential form is:

1022 = 21×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1014 and 1022.

LCM(1014,1022) = 21×31×71×132×731
LCM(1014,1022) = 518154

Factors of 1014

List of positive integer factors of 1014 that divides 1014 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014

Factors of 1022

List of positive integer factors of 1022 that divides 1022 without a remainder.

1, 2, 7, 14, 73, 146, 511, 1022

Least Common Multiple of 1014 and 1022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1014 and 1022, than apply into the LCM equation.

GCF(1014,1022) = 2
LCM(1014,1022) = ( 1014 × 1022) / 2
LCM(1014,1022) = 1036308 / 2
LCM(1014,1022) = 518154

Properties of LCM 1014 and 1022

(i) The LCM of 1022 and 1014 is associative

LCM of 1014 and 1022 = LCM of 1022 and 1014

Related Least Common Multiples of 1014

Related Least Common Multiples of 1022

Frequently Asked Questions on LCM of 1014 and 1022

1. What is the LCM of 1014 and 1022?

Answer: LCM of 1014 and 1022 is 518154.

2. What are the Factors of 1014?

Answer: Factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014. There are 12 integers that are factors of 1014. The greatest factor of 1014 is 1014.

3. What are the Factors of 1022?

Answer: Factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022. There are 8 integers that are factors of 1022. The greatest factor of 1022 is 1022.

4. How to Find the LCM of 1014 and 1022?

Answer:

Least Common Multiple of 1014 and 1022 = 518154

Step 1: Find the prime factorization of 1014

1014 = 2 x 3 x 13 x 13

Step 2: Find the prime factorization of 1022

1022 = 2 x 7 x 73

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

LCM = 518154 = 2 x 3 x 7 x 13 x 13 x 73

Step 4: Therefore, the least common multiple of 1014 and 1022 is 518154.