Least Common Multiple of 31013 and 31016

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 31016 the smallest integer that is 961899208 that is divisible by both numbers.

Least Common Multiple (LCM) of 31013 and 31016 is 961899208.

LCM(31013,31016) = 961899208

LCM of 31013 and 31016

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

LCM of:
and

Least Common Multiple of 31013 and 31016

LCM of 31013 and 31016 is 961899208

Least common multiple can be found by multiplying the highest exponent prime factors of 31013 and 31016. First we will calculate the prime factors of 31013 and 31016.

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 31016


2 31016
2 15508
2 7754
3877 3877
1

Prime factors of 31016 are 2,3877. Prime factorization of 31016 in exponential form is:

31016 = 23×38771

Now multiplying the highest exponent prime factors to calculate the LCM of 31013 and 31016.

LCM(31013,31016) = 23×38771×310131
LCM(31013,31016) = 961899208

Factors of 31013

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

1, 31013

Factors of 31016

List of positive integer factors of 31016 that divides 31016 without a remainder.

1, 2, 4, 8, 3877, 7754, 15508, 31016

Least Common Multiple of 31013 and 31016 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 31016, than apply into the LCM equation.

GCF(31013,31016) = 1
LCM(31013,31016) = ( 31013 × 31016) / 1
LCM(31013,31016) = 961899208 / 1
LCM(31013,31016) = 961899208

Properties of LCM 31013 and 31016

(i) The LCM of 31016 and 31013 is associative

LCM of 31013 and 31016 = LCM of 31016 and 31013

Related Least Common Multiples of 31013

Related Least Common Multiples of 31016

Frequently Asked Questions on LCM of 31013 and 31016

1. What is the LCM of 31013 and 31016?

Answer: LCM of 31013 and 31016 is 961899208.

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 31016?

Answer: Factors of 31016 are 1, 2, 4, 8, 3877, 7754, 15508, 31016. There are 8 integers that are factors of 31016. The greatest factor of 31016 is 31016.

4. How to Find the LCM of 31013 and 31016?

Answer:

Least Common Multiple of 31013 and 31016 = 961899208

Step 1: Find the prime factorization of 31013

31013 = 31013

Step 2: Find the prime factorization of 31016

31016 = 2 x 2 x 2 x 3877

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

LCM = 961899208 = 2 x 2 x 2 x 3877 x 31013

Step 4: Therefore, the least common multiple of 31013 and 31016 is 961899208.