Least Common Multiple of 3131 and 3137

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 3137 the smallest integer that is 9821947 that is divisible by both numbers.

Least Common Multiple (LCM) of 3131 and 3137 is 9821947.

LCM(3131,3137) = 9821947

LCM of 3131 and 3137

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

LCM of:
and

Least Common Multiple of 3131 and 3137

LCM of 3131 and 3137 is 9821947

Least common multiple can be found by multiplying the highest exponent prime factors of 3131 and 3137. First we will calculate the prime factors of 3131 and 3137.

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 3137


3137 3137
1

Prime factors of 3137 are 3137. Prime factorization of 3137 in exponential form is:

3137 = 31371

Now multiplying the highest exponent prime factors to calculate the LCM of 3131 and 3137.

LCM(3131,3137) = 311×1011×31371
LCM(3131,3137) = 9821947

Factors of 3131

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

1, 31, 101, 3131

Factors of 3137

List of positive integer factors of 3137 that divides 3137 without a remainder.

1, 3137

Least Common Multiple of 3131 and 3137 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 3137, than apply into the LCM equation.

GCF(3131,3137) = 1
LCM(3131,3137) = ( 3131 × 3137) / 1
LCM(3131,3137) = 9821947 / 1
LCM(3131,3137) = 9821947

Properties of LCM 3131 and 3137

(i) The LCM of 3137 and 3131 is associative

LCM of 3131 and 3137 = LCM of 3137 and 3131

Related Least Common Multiples of 3131

Related Least Common Multiples of 3137

Frequently Asked Questions on LCM of 3131 and 3137

1. What is the LCM of 3131 and 3137?

Answer: LCM of 3131 and 3137 is 9821947.

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 3137?

Answer: Factors of 3137 are 1, 3137. There are 2 integers that are factors of 3137. The greatest factor of 3137 is 3137.

4. How to Find the LCM of 3131 and 3137?

Answer:

Least Common Multiple of 3131 and 3137 = 9821947

Step 1: Find the prime factorization of 3131

3131 = 31 x 101

Step 2: Find the prime factorization of 3137

3137 = 3137

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

LCM = 9821947 = 31 x 101 x 3137

Step 4: Therefore, the least common multiple of 3131 and 3137 is 9821947.