Least Common Multiple of 1021 and 1029

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 1029 the smallest integer that is 1050609 that is divisible by both numbers.

Least Common Multiple (LCM) of 1021 and 1029 is 1050609.

LCM(1021,1029) = 1050609

LCM of 1021 and 1029

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

LCM of:
and

Least Common Multiple of 1021 and 1029

LCM of 1021 and 1029 is 1050609

Least common multiple can be found by multiplying the highest exponent prime factors of 1021 and 1029. First we will calculate the prime factors of 1021 and 1029.

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 1029


3 1029
7 343
7 49
7 7
1

Prime factors of 1029 are 3,7. Prime factorization of 1029 in exponential form is:

1029 = 31×73

Now multiplying the highest exponent prime factors to calculate the LCM of 1021 and 1029.

LCM(1021,1029) = 31×73×10211
LCM(1021,1029) = 1050609

Factors of 1021

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

1, 1021

Factors of 1029

List of positive integer factors of 1029 that divides 1029 without a remainder.

1, 3, 7, 21, 49, 147, 343, 1029

Least Common Multiple of 1021 and 1029 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 1029, than apply into the LCM equation.

GCF(1021,1029) = 1
LCM(1021,1029) = ( 1021 × 1029) / 1
LCM(1021,1029) = 1050609 / 1
LCM(1021,1029) = 1050609

Properties of LCM 1021 and 1029

(i) The LCM of 1029 and 1021 is associative

LCM of 1021 and 1029 = LCM of 1029 and 1021

Related Least Common Multiples of 1021

Related Least Common Multiples of 1029

Frequently Asked Questions on LCM of 1021 and 1029

1. What is the LCM of 1021 and 1029?

Answer: LCM of 1021 and 1029 is 1050609.

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 1029?

Answer: Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029. There are 8 integers that are factors of 1029. The greatest factor of 1029 is 1029.

4. How to Find the LCM of 1021 and 1029?

Answer:

Least Common Multiple of 1021 and 1029 = 1050609

Step 1: Find the prime factorization of 1021

1021 = 1021

Step 2: Find the prime factorization of 1029

1029 = 3 x 7 x 7 x 7

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

LCM = 1050609 = 3 x 7 x 7 x 7 x 1021

Step 4: Therefore, the least common multiple of 1021 and 1029 is 1050609.