Least Common Multiple of 3124 and 3131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3124 and 3131 the smallest integer that is 9781244 that is divisible by both numbers.

Least Common Multiple (LCM) of 3124 and 3131 is 9781244.

LCM(3124,3131) = 9781244

LCM of 3124 and 3131

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

LCM of:
and

Least Common Multiple of 3124 and 3131

LCM of 3124 and 3131 is 9781244

Least common multiple can be found by multiplying the highest exponent prime factors of 3124 and 3131. First we will calculate the prime factors of 3124 and 3131.

Prime Factorization of 3124


2 3124
2 1562
11 781
71 71
1

Prime factors of 3124 are 2, 11,71. Prime factorization of 3124 in exponential form is:

3124 = 22×111×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3124 and 3131.

LCM(3124,3131) = 22×111×311×711×1011
LCM(3124,3131) = 9781244

Factors of 3124

List of positive integer factors of 3124 that divides 3124 without a remainder.

1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124

Factors of 3131

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

1, 31, 101, 3131

Least Common Multiple of 3124 and 3131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3124 and 3131, than apply into the LCM equation.

GCF(3124,3131) = 1
LCM(3124,3131) = ( 3124 × 3131) / 1
LCM(3124,3131) = 9781244 / 1
LCM(3124,3131) = 9781244

Properties of LCM 3124 and 3131

(i) The LCM of 3131 and 3124 is associative

LCM of 3124 and 3131 = LCM of 3131 and 3124

Related Least Common Multiples of 3124

Related Least Common Multiples of 3131

Frequently Asked Questions on LCM of 3124 and 3131

1. What is the LCM of 3124 and 3131?

Answer: LCM of 3124 and 3131 is 9781244.

2. What are the Factors of 3124?

Answer: Factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124. There are 12 integers that are factors of 3124. The greatest factor of 3124 is 3124.

3. 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.

4. How to Find the LCM of 3124 and 3131?

Answer:

Least Common Multiple of 3124 and 3131 = 9781244

Step 1: Find the prime factorization of 3124

3124 = 2 x 2 x 11 x 71

Step 2: Find the prime factorization of 3131

3131 = 31 x 101

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

LCM = 9781244 = 2 x 2 x 11 x 31 x 71 x 101

Step 4: Therefore, the least common multiple of 3124 and 3131 is 9781244.