Least Common Multiple of 3131 and 3138

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 3138 the smallest integer that is 9825078 that is divisible by both numbers.

Least Common Multiple (LCM) of 3131 and 3138 is 9825078.

LCM(3131,3138) = 9825078

LCM of 3131 and 3138

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

LCM of:
and

Least Common Multiple of 3131 and 3138

LCM of 3131 and 3138 is 9825078

Least common multiple can be found by multiplying the highest exponent prime factors of 3131 and 3138. First we will calculate the prime factors of 3131 and 3138.

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 3138


2 3138
3 1569
523 523
1

Prime factors of 3138 are 2, 3,523. Prime factorization of 3138 in exponential form is:

3138 = 21×31×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 3131 and 3138.

LCM(3131,3138) = 21×31×311×1011×5231
LCM(3131,3138) = 9825078

Factors of 3131

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

1, 31, 101, 3131

Factors of 3138

List of positive integer factors of 3138 that divides 3138 without a remainder.

1, 2, 3, 6, 523, 1046, 1569, 3138

Least Common Multiple of 3131 and 3138 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 3138, than apply into the LCM equation.

GCF(3131,3138) = 1
LCM(3131,3138) = ( 3131 × 3138) / 1
LCM(3131,3138) = 9825078 / 1
LCM(3131,3138) = 9825078

Properties of LCM 3131 and 3138

(i) The LCM of 3138 and 3131 is associative

LCM of 3131 and 3138 = LCM of 3138 and 3131

Related Least Common Multiples of 3131

Related Least Common Multiples of 3138

Frequently Asked Questions on LCM of 3131 and 3138

1. What is the LCM of 3131 and 3138?

Answer: LCM of 3131 and 3138 is 9825078.

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 3138?

Answer: Factors of 3138 are 1, 2, 3, 6, 523, 1046, 1569, 3138. There are 8 integers that are factors of 3138. The greatest factor of 3138 is 3138.

4. How to Find the LCM of 3131 and 3138?

Answer:

Least Common Multiple of 3131 and 3138 = 9825078

Step 1: Find the prime factorization of 3131

3131 = 31 x 101

Step 2: Find the prime factorization of 3138

3138 = 2 x 3 x 523

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

LCM = 9825078 = 2 x 3 x 31 x 101 x 523

Step 4: Therefore, the least common multiple of 3131 and 3138 is 9825078.