Least Common Multiple of 1021 and 1027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1021 and 1027 the smallest integer that is 1048567 that is divisible by both numbers.

Least Common Multiple (LCM) of 1021 and 1027 is 1048567.

LCM(1021,1027) = 1048567

LCM of 1021 and 1027

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

LCM of:
and

Least Common Multiple of 1021 and 1027

LCM of 1021 and 1027 is 1048567

Least common multiple can be found by multiplying the highest exponent prime factors of 1021 and 1027. First we will calculate the prime factors of 1021 and 1027.

Prime Factorization of 1021


1021 1021
1

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

1021 = 10211

Prime Factorization of 1027


13 1027
79 79
1

Prime factors of 1027 are 13,79. Prime factorization of 1027 in exponential form is:

1027 = 131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1021 and 1027.

LCM(1021,1027) = 131×791×10211
LCM(1021,1027) = 1048567

Factors of 1021

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

1, 1021

Factors of 1027

List of positive integer factors of 1027 that divides 1027 without a remainder.

1, 13, 79, 1027

Least Common Multiple of 1021 and 1027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1021 and 1027, than apply into the LCM equation.

GCF(1021,1027) = 1
LCM(1021,1027) = ( 1021 × 1027) / 1
LCM(1021,1027) = 1048567 / 1
LCM(1021,1027) = 1048567

Properties of LCM 1021 and 1027

(i) The LCM of 1027 and 1021 is associative

LCM of 1021 and 1027 = LCM of 1027 and 1021

Related Least Common Multiples of 1021

Related Least Common Multiples of 1027

Frequently Asked Questions on LCM of 1021 and 1027

1. What is the LCM of 1021 and 1027?

Answer: LCM of 1021 and 1027 is 1048567.

2. 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.

3. What are the Factors of 1027?

Answer: Factors of 1027 are 1, 13, 79, 1027. There are 4 integers that are factors of 1027. The greatest factor of 1027 is 1027.

4. How to Find the LCM of 1021 and 1027?

Answer:

Least Common Multiple of 1021 and 1027 = 1048567

Step 1: Find the prime factorization of 1021

1021 = 1021

Step 2: Find the prime factorization of 1027

1027 = 13 x 79

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

LCM = 1048567 = 13 x 79 x 1021

Step 4: Therefore, the least common multiple of 1021 and 1027 is 1048567.