Least Common Multiple of 1013 and 1018

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 1018 the smallest integer that is 1031234 that is divisible by both numbers.

Least Common Multiple (LCM) of 1013 and 1018 is 1031234.

LCM(1013,1018) = 1031234

LCM of 1013 and 1018

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

LCM of:
and

Least Common Multiple of 1013 and 1018

LCM of 1013 and 1018 is 1031234

Least common multiple can be found by multiplying the highest exponent prime factors of 1013 and 1018. First we will calculate the prime factors of 1013 and 1018.

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 1018


2 1018
509 509
1

Prime factors of 1018 are 2,509. Prime factorization of 1018 in exponential form is:

1018 = 21×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 1013 and 1018.

LCM(1013,1018) = 21×5091×10131
LCM(1013,1018) = 1031234

Factors of 1013

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

1, 1013

Factors of 1018

List of positive integer factors of 1018 that divides 1018 without a remainder.

1, 2, 509, 1018

Least Common Multiple of 1013 and 1018 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 1018, than apply into the LCM equation.

GCF(1013,1018) = 1
LCM(1013,1018) = ( 1013 × 1018) / 1
LCM(1013,1018) = 1031234 / 1
LCM(1013,1018) = 1031234

Properties of LCM 1013 and 1018

(i) The LCM of 1018 and 1013 is associative

LCM of 1013 and 1018 = LCM of 1018 and 1013

Related Least Common Multiples of 1013

Related Least Common Multiples of 1018

Frequently Asked Questions on LCM of 1013 and 1018

1. What is the LCM of 1013 and 1018?

Answer: LCM of 1013 and 1018 is 1031234.

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 1018?

Answer: Factors of 1018 are 1, 2, 509, 1018. There are 4 integers that are factors of 1018. The greatest factor of 1018 is 1018.

4. How to Find the LCM of 1013 and 1018?

Answer:

Least Common Multiple of 1013 and 1018 = 1031234

Step 1: Find the prime factorization of 1013

1013 = 1013

Step 2: Find the prime factorization of 1018

1018 = 2 x 509

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

LCM = 1031234 = 2 x 509 x 1013

Step 4: Therefore, the least common multiple of 1013 and 1018 is 1031234.