Least Common Multiple of 1014 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 1014 and 1021 the smallest integer that is 1035294 that is divisible by both numbers.

Least Common Multiple (LCM) of 1014 and 1021 is 1035294.

LCM(1014,1021) = 1035294

LCM of 1014 and 1021

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

LCM of:
and

Least Common Multiple of 1014 and 1021

LCM of 1014 and 1021 is 1035294

Least common multiple can be found by multiplying the highest exponent prime factors of 1014 and 1021. First we will calculate the prime factors of 1014 and 1021.

Prime Factorization of 1014


2 1014
3 507
13 169
13 13
1

Prime factors of 1014 are 2, 3,13. Prime factorization of 1014 in exponential form is:

1014 = 21×31×132

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 1014 and 1021.

LCM(1014,1021) = 21×31×132×10211
LCM(1014,1021) = 1035294

Factors of 1014

List of positive integer factors of 1014 that divides 1014 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014

Factors of 1021

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

1, 1021

Least Common Multiple of 1014 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 1014 and 1021, than apply into the LCM equation.

GCF(1014,1021) = 1
LCM(1014,1021) = ( 1014 × 1021) / 1
LCM(1014,1021) = 1035294 / 1
LCM(1014,1021) = 1035294

Properties of LCM 1014 and 1021

(i) The LCM of 1021 and 1014 is associative

LCM of 1014 and 1021 = LCM of 1021 and 1014

Related Least Common Multiples of 1014

Related Least Common Multiples of 1021

Frequently Asked Questions on LCM of 1014 and 1021

1. What is the LCM of 1014 and 1021?

Answer: LCM of 1014 and 1021 is 1035294.

2. What are the Factors of 1014?

Answer: Factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014. There are 12 integers that are factors of 1014. The greatest factor of 1014 is 1014.

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 1014 and 1021?

Answer:

Least Common Multiple of 1014 and 1021 = 1035294

Step 1: Find the prime factorization of 1014

1014 = 2 x 3 x 13 x 13

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 = 1035294 = 2 x 3 x 13 x 13 x 1021

Step 4: Therefore, the least common multiple of 1014 and 1021 is 1035294.