Least Common Multiple of 1017 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 1017 and 1023 the smallest integer that is 346797 that is divisible by both numbers.

Least Common Multiple (LCM) of 1017 and 1023 is 346797.

LCM(1017,1023) = 346797

LCM of 1017 and 1023

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

LCM of:
and

Least Common Multiple of 1017 and 1023

LCM of 1017 and 1023 is 346797

Least common multiple can be found by multiplying the highest exponent prime factors of 1017 and 1023. First we will calculate the prime factors of 1017 and 1023.

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

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 1017 and 1023.

LCM(1017,1023) = 32×111×311×1131
LCM(1017,1023) = 346797

Factors of 1017

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

1, 3, 9, 113, 339, 1017

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 1017 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 1017 and 1023, than apply into the LCM equation.

GCF(1017,1023) = 3
LCM(1017,1023) = ( 1017 × 1023) / 3
LCM(1017,1023) = 1040391 / 3
LCM(1017,1023) = 346797

Properties of LCM 1017 and 1023

(i) The LCM of 1023 and 1017 is associative

LCM of 1017 and 1023 = LCM of 1023 and 1017

Related Least Common Multiples of 1017

Related Least Common Multiples of 1023

Frequently Asked Questions on LCM of 1017 and 1023

1. What is the LCM of 1017 and 1023?

Answer: LCM of 1017 and 1023 is 346797.

2. 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.

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 1017 and 1023?

Answer:

Least Common Multiple of 1017 and 1023 = 346797

Step 1: Find the prime factorization of 1017

1017 = 3 x 3 x 113

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 = 346797 = 3 x 3 x 11 x 31 x 113

Step 4: Therefore, the least common multiple of 1017 and 1023 is 346797.