Least Common Multiple of 1017 and 1021

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 1021 the smallest integer that is 1038357 that is divisible by both numbers.

Least Common Multiple (LCM) of 1017 and 1021 is 1038357.

LCM(1017,1021) = 1038357

LCM of 1017 and 1021

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

LCM of:
and

Least Common Multiple of 1017 and 1021

LCM of 1017 and 1021 is 1038357

Least common multiple can be found by multiplying the highest exponent prime factors of 1017 and 1021. First we will calculate the prime factors of 1017 and 1021.

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 1021


1021 1021
1

Prime factors of 1021 are 1021. Prime factorization of 1021 in exponential form is:

1021 = 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 1017 and 1021.

LCM(1017,1021) = 32×1131×10211
LCM(1017,1021) = 1038357

Factors of 1017

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

1, 3, 9, 113, 339, 1017

Factors of 1021

List of positive integer factors of 1021 that divides 1021 without a remainder.

1, 1021

Least Common Multiple of 1017 and 1021 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 1021, than apply into the LCM equation.

GCF(1017,1021) = 1
LCM(1017,1021) = ( 1017 × 1021) / 1
LCM(1017,1021) = 1038357 / 1
LCM(1017,1021) = 1038357

Properties of LCM 1017 and 1021

(i) The LCM of 1021 and 1017 is associative

LCM of 1017 and 1021 = LCM of 1021 and 1017

Related Least Common Multiples of 1017

Related Least Common Multiples of 1021

Frequently Asked Questions on LCM of 1017 and 1021

1. What is the LCM of 1017 and 1021?

Answer: LCM of 1017 and 1021 is 1038357.

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 1021?

Answer: Factors of 1021 are 1, 1021. There are 2 integers that are factors of 1021. The greatest factor of 1021 is 1021.

4. How to Find the LCM of 1017 and 1021?

Answer:

Least Common Multiple of 1017 and 1021 = 1038357

Step 1: Find the prime factorization of 1017

1017 = 3 x 3 x 113

Step 2: Find the prime factorization of 1021

1021 = 1021

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

LCM = 1038357 = 3 x 3 x 113 x 1021

Step 4: Therefore, the least common multiple of 1017 and 1021 is 1038357.