Least Common Multiple of 3137 and 3143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3137 and 3143 the smallest integer that is 9859591 that is divisible by both numbers.

Least Common Multiple (LCM) of 3137 and 3143 is 9859591.

LCM(3137,3143) = 9859591

LCM of 3137 and 3143

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

LCM of:
and

Least Common Multiple of 3137 and 3143

LCM of 3137 and 3143 is 9859591

Least common multiple can be found by multiplying the highest exponent prime factors of 3137 and 3143. First we will calculate the prime factors of 3137 and 3143.

Prime Factorization of 3137


3137 3137
1

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

3137 = 31371

Prime Factorization of 3143


7 3143
449 449
1

Prime factors of 3143 are 7,449. Prime factorization of 3143 in exponential form is:

3143 = 71×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 3137 and 3143.

LCM(3137,3143) = 71×4491×31371
LCM(3137,3143) = 9859591

Factors of 3137

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

1, 3137

Factors of 3143

List of positive integer factors of 3143 that divides 3143 without a remainder.

1, 7, 449, 3143

Least Common Multiple of 3137 and 3143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3137 and 3143, than apply into the LCM equation.

GCF(3137,3143) = 1
LCM(3137,3143) = ( 3137 × 3143) / 1
LCM(3137,3143) = 9859591 / 1
LCM(3137,3143) = 9859591

Properties of LCM 3137 and 3143

(i) The LCM of 3143 and 3137 is associative

LCM of 3137 and 3143 = LCM of 3143 and 3137

Related Least Common Multiples of 3137

Related Least Common Multiples of 3143

Frequently Asked Questions on LCM of 3137 and 3143

1. What is the LCM of 3137 and 3143?

Answer: LCM of 3137 and 3143 is 9859591.

2. 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.

3. What are the Factors of 3143?

Answer: Factors of 3143 are 1, 7, 449, 3143. There are 4 integers that are factors of 3143. The greatest factor of 3143 is 3143.

4. How to Find the LCM of 3137 and 3143?

Answer:

Least Common Multiple of 3137 and 3143 = 9859591

Step 1: Find the prime factorization of 3137

3137 = 3137

Step 2: Find the prime factorization of 3143

3143 = 7 x 449

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

LCM = 9859591 = 7 x 449 x 3137

Step 4: Therefore, the least common multiple of 3137 and 3143 is 9859591.