Least Common Multiple of 31013 and 31019

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31013 and 31019 the smallest integer that is 961992247 that is divisible by both numbers.

Least Common Multiple (LCM) of 31013 and 31019 is 961992247.

LCM(31013,31019) = 961992247

LCM of 31013 and 31019

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

LCM of:
and

Least Common Multiple of 31013 and 31019

LCM of 31013 and 31019 is 961992247

Least common multiple can be found by multiplying the highest exponent prime factors of 31013 and 31019. First we will calculate the prime factors of 31013 and 31019.

Prime Factorization of 31013


31013 31013
1

Prime factors of 31013 are 31013. Prime factorization of 31013 in exponential form is:

31013 = 310131

Prime Factorization of 31019


31019 31019
1

Prime factors of 31019 are 31019. Prime factorization of 31019 in exponential form is:

31019 = 310191

Now multiplying the highest exponent prime factors to calculate the LCM of 31013 and 31019.

LCM(31013,31019) = 310131×310191
LCM(31013,31019) = 961992247

Factors of 31013

List of positive integer factors of 31013 that divides 31013 without a remainder.

1, 31013

Factors of 31019

List of positive integer factors of 31019 that divides 31019 without a remainder.

1, 31019

Least Common Multiple of 31013 and 31019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31013 and 31019, than apply into the LCM equation.

GCF(31013,31019) = 1
LCM(31013,31019) = ( 31013 × 31019) / 1
LCM(31013,31019) = 961992247 / 1
LCM(31013,31019) = 961992247

Properties of LCM 31013 and 31019

(i) The LCM of 31019 and 31013 is associative

LCM of 31013 and 31019 = LCM of 31019 and 31013

Related Least Common Multiples of 31013

Related Least Common Multiples of 31019

Frequently Asked Questions on LCM of 31013 and 31019

1. What is the LCM of 31013 and 31019?

Answer: LCM of 31013 and 31019 is 961992247.

2. What are the Factors of 31013?

Answer: Factors of 31013 are 1, 31013. There are 2 integers that are factors of 31013. The greatest factor of 31013 is 31013.

3. What are the Factors of 31019?

Answer: Factors of 31019 are 1, 31019. There are 2 integers that are factors of 31019. The greatest factor of 31019 is 31019.

4. How to Find the LCM of 31013 and 31019?

Answer:

Least Common Multiple of 31013 and 31019 = 961992247

Step 1: Find the prime factorization of 31013

31013 = 31013

Step 2: Find the prime factorization of 31019

31019 = 31019

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

LCM = 961992247 = 31013 x 31019

Step 4: Therefore, the least common multiple of 31013 and 31019 is 961992247.