Least Common Multiple of 1013 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 1013 and 1021 the smallest integer that is 1034273 that is divisible by both numbers.

Least Common Multiple (LCM) of 1013 and 1021 is 1034273.

LCM(1013,1021) = 1034273

LCM of 1013 and 1021

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

LCM of:
and

Least Common Multiple of 1013 and 1021

LCM of 1013 and 1021 is 1034273

Least common multiple can be found by multiplying the highest exponent prime factors of 1013 and 1021. First we will calculate the prime factors of 1013 and 1021.

Prime Factorization of 1013


1013 1013
1

Prime factors of 1013 are 1013. Prime factorization of 1013 in exponential form is:

1013 = 10131

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 1013 and 1021.

LCM(1013,1021) = 10131×10211
LCM(1013,1021) = 1034273

Factors of 1013

List of positive integer factors of 1013 that divides 1013 without a remainder.

1, 1013

Factors of 1021

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

1, 1021

Least Common Multiple of 1013 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 1013 and 1021, than apply into the LCM equation.

GCF(1013,1021) = 1
LCM(1013,1021) = ( 1013 × 1021) / 1
LCM(1013,1021) = 1034273 / 1
LCM(1013,1021) = 1034273

Properties of LCM 1013 and 1021

(i) The LCM of 1021 and 1013 is associative

LCM of 1013 and 1021 = LCM of 1021 and 1013

Related Least Common Multiples of 1013

Related Least Common Multiples of 1021

Frequently Asked Questions on LCM of 1013 and 1021

1. What is the LCM of 1013 and 1021?

Answer: LCM of 1013 and 1021 is 1034273.

2. What are the Factors of 1013?

Answer: Factors of 1013 are 1, 1013. There are 2 integers that are factors of 1013. The greatest factor of 1013 is 1013.

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 1013 and 1021?

Answer:

Least Common Multiple of 1013 and 1021 = 1034273

Step 1: Find the prime factorization of 1013

1013 = 1013

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 = 1034273 = 1013 x 1021

Step 4: Therefore, the least common multiple of 1013 and 1021 is 1034273.