Least Common Multiple of 3131 and 3136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3131 and 3136 the smallest integer that is 9818816 that is divisible by both numbers.

Least Common Multiple (LCM) of 3131 and 3136 is 9818816.

LCM(3131,3136) = 9818816

LCM of 3131 and 3136

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

LCM of:
and

Least Common Multiple of 3131 and 3136

LCM of 3131 and 3136 is 9818816

Least common multiple can be found by multiplying the highest exponent prime factors of 3131 and 3136. First we will calculate the prime factors of 3131 and 3136.

Prime Factorization of 3131


31 3131
101 101
1

Prime factors of 3131 are 31,101. Prime factorization of 3131 in exponential form is:

3131 = 311×1011

Prime Factorization of 3136


2 3136
2 1568
2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 3136 are 2,7. Prime factorization of 3136 in exponential form is:

3136 = 26×72

Now multiplying the highest exponent prime factors to calculate the LCM of 3131 and 3136.

LCM(3131,3136) = 26×72×311×1011
LCM(3131,3136) = 9818816

Factors of 3131

List of positive integer factors of 3131 that divides 3131 without a remainder.

1, 31, 101, 3131

Factors of 3136

List of positive integer factors of 3136 that divides 3136 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136

Least Common Multiple of 3131 and 3136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3131 and 3136, than apply into the LCM equation.

GCF(3131,3136) = 1
LCM(3131,3136) = ( 3131 × 3136) / 1
LCM(3131,3136) = 9818816 / 1
LCM(3131,3136) = 9818816

Properties of LCM 3131 and 3136

(i) The LCM of 3136 and 3131 is associative

LCM of 3131 and 3136 = LCM of 3136 and 3131

Related Least Common Multiples of 3131

Related Least Common Multiples of 3136

Frequently Asked Questions on LCM of 3131 and 3136

1. What is the LCM of 3131 and 3136?

Answer: LCM of 3131 and 3136 is 9818816.

2. What are the Factors of 3131?

Answer: Factors of 3131 are 1, 31, 101, 3131. There are 4 integers that are factors of 3131. The greatest factor of 3131 is 3131.

3. What are the Factors of 3136?

Answer: Factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136. There are 21 integers that are factors of 3136. The greatest factor of 3136 is 3136.

4. How to Find the LCM of 3131 and 3136?

Answer:

Least Common Multiple of 3131 and 3136 = 9818816

Step 1: Find the prime factorization of 3131

3131 = 31 x 101

Step 2: Find the prime factorization of 3136

3136 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7

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

LCM = 9818816 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 31 x 101

Step 4: Therefore, the least common multiple of 3131 and 3136 is 9818816.