Least Common Multiple of 1016 and 1023

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 1023 the smallest integer that is 1039368 that is divisible by both numbers.

Least Common Multiple (LCM) of 1016 and 1023 is 1039368.

LCM(1016,1023) = 1039368

LCM of 1016 and 1023

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

LCM of:
and

Least Common Multiple of 1016 and 1023

LCM of 1016 and 1023 is 1039368

Least common multiple can be found by multiplying the highest exponent prime factors of 1016 and 1023. First we will calculate the prime factors of 1016 and 1023.

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 1023


3 1023
11 341
31 31
1

Prime factors of 1023 are 3, 11,31. Prime factorization of 1023 in exponential form is:

1023 = 31×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1016 and 1023.

LCM(1016,1023) = 23×31×111×311×1271
LCM(1016,1023) = 1039368

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 1023

List of positive integer factors of 1023 that divides 1023 without a remainder.

1, 3, 11, 31, 33, 93, 341, 1023

Least Common Multiple of 1016 and 1023 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 1023, than apply into the LCM equation.

GCF(1016,1023) = 1
LCM(1016,1023) = ( 1016 × 1023) / 1
LCM(1016,1023) = 1039368 / 1
LCM(1016,1023) = 1039368

Properties of LCM 1016 and 1023

(i) The LCM of 1023 and 1016 is associative

LCM of 1016 and 1023 = LCM of 1023 and 1016

Related Least Common Multiples of 1016

Related Least Common Multiples of 1023

Frequently Asked Questions on LCM of 1016 and 1023

1. What is the LCM of 1016 and 1023?

Answer: LCM of 1016 and 1023 is 1039368.

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 1023?

Answer: Factors of 1023 are 1, 3, 11, 31, 33, 93, 341, 1023. There are 8 integers that are factors of 1023. The greatest factor of 1023 is 1023.

4. How to Find the LCM of 1016 and 1023?

Answer:

Least Common Multiple of 1016 and 1023 = 1039368

Step 1: Find the prime factorization of 1016

1016 = 2 x 2 x 2 x 127

Step 2: Find the prime factorization of 1023

1023 = 3 x 11 x 31

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

LCM = 1039368 = 2 x 2 x 2 x 3 x 11 x 31 x 127

Step 4: Therefore, the least common multiple of 1016 and 1023 is 1039368.