Least Common Multiple of 3137 and 3142

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 3142 the smallest integer that is 9856454 that is divisible by both numbers.

Least Common Multiple (LCM) of 3137 and 3142 is 9856454.

LCM(3137,3142) = 9856454

LCM of 3137 and 3142

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

LCM of:
and

Least Common Multiple of 3137 and 3142

LCM of 3137 and 3142 is 9856454

Least common multiple can be found by multiplying the highest exponent prime factors of 3137 and 3142. First we will calculate the prime factors of 3137 and 3142.

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 3142


2 3142
1571 1571
1

Prime factors of 3142 are 2,1571. Prime factorization of 3142 in exponential form is:

3142 = 21×15711

Now multiplying the highest exponent prime factors to calculate the LCM of 3137 and 3142.

LCM(3137,3142) = 21×15711×31371
LCM(3137,3142) = 9856454

Factors of 3137

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

1, 3137

Factors of 3142

List of positive integer factors of 3142 that divides 3142 without a remainder.

1, 2, 1571, 3142

Least Common Multiple of 3137 and 3142 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 3142, than apply into the LCM equation.

GCF(3137,3142) = 1
LCM(3137,3142) = ( 3137 × 3142) / 1
LCM(3137,3142) = 9856454 / 1
LCM(3137,3142) = 9856454

Properties of LCM 3137 and 3142

(i) The LCM of 3142 and 3137 is associative

LCM of 3137 and 3142 = LCM of 3142 and 3137

Related Least Common Multiples of 3137

Related Least Common Multiples of 3142

Frequently Asked Questions on LCM of 3137 and 3142

1. What is the LCM of 3137 and 3142?

Answer: LCM of 3137 and 3142 is 9856454.

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 3142?

Answer: Factors of 3142 are 1, 2, 1571, 3142. There are 4 integers that are factors of 3142. The greatest factor of 3142 is 3142.

4. How to Find the LCM of 3137 and 3142?

Answer:

Least Common Multiple of 3137 and 3142 = 9856454

Step 1: Find the prime factorization of 3137

3137 = 3137

Step 2: Find the prime factorization of 3142

3142 = 2 x 1571

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

LCM = 9856454 = 2 x 1571 x 3137

Step 4: Therefore, the least common multiple of 3137 and 3142 is 9856454.