Least Common Multiple of 1016 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 1016 and 1022 the smallest integer that is 519176 that is divisible by both numbers.

Least Common Multiple (LCM) of 1016 and 1022 is 519176.

LCM(1016,1022) = 519176

LCM of 1016 and 1022

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

LCM of:
and

Least Common Multiple of 1016 and 1022

LCM of 1016 and 1022 is 519176

Least common multiple can be found by multiplying the highest exponent prime factors of 1016 and 1022. First we will calculate the prime factors of 1016 and 1022.

Prime Factorization of 1016


2 1016
2 508
2 254
127 127
1

Prime factors of 1016 are 2,127. Prime factorization of 1016 in exponential form is:

1016 = 23×1271

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 1016 and 1022.

LCM(1016,1022) = 23×71×731×1271
LCM(1016,1022) = 519176

Factors of 1016

List of positive integer factors of 1016 that divides 1016 without a remainder.

1, 2, 4, 8, 127, 254, 508, 1016

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 1016 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 1016 and 1022, than apply into the LCM equation.

GCF(1016,1022) = 2
LCM(1016,1022) = ( 1016 × 1022) / 2
LCM(1016,1022) = 1038352 / 2
LCM(1016,1022) = 519176

Properties of LCM 1016 and 1022

(i) The LCM of 1022 and 1016 is associative

LCM of 1016 and 1022 = LCM of 1022 and 1016

Related Least Common Multiples of 1016

Related Least Common Multiples of 1022

Frequently Asked Questions on LCM of 1016 and 1022

1. What is the LCM of 1016 and 1022?

Answer: LCM of 1016 and 1022 is 519176.

2. What are the Factors of 1016?

Answer: Factors of 1016 are 1, 2, 4, 8, 127, 254, 508, 1016. There are 8 integers that are factors of 1016. The greatest factor of 1016 is 1016.

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 1016 and 1022?

Answer:

Least Common Multiple of 1016 and 1022 = 519176

Step 1: Find the prime factorization of 1016

1016 = 2 x 2 x 2 x 127

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 = 519176 = 2 x 2 x 2 x 7 x 73 x 127

Step 4: Therefore, the least common multiple of 1016 and 1022 is 519176.