Least Common Multiple of 3132 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 3132 and 3137 the smallest integer that is 9825084 that is divisible by both numbers.

Least Common Multiple (LCM) of 3132 and 3137 is 9825084.

LCM(3132,3137) = 9825084

LCM of 3132 and 3137

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

LCM of:
and

Least Common Multiple of 3132 and 3137

LCM of 3132 and 3137 is 9825084

Least common multiple can be found by multiplying the highest exponent prime factors of 3132 and 3137. First we will calculate the prime factors of 3132 and 3137.

Prime Factorization of 3132


2 3132
2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 3132 are 2, 3,29. Prime factorization of 3132 in exponential form is:

3132 = 22×33×291

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 3132 and 3137.

LCM(3132,3137) = 22×33×291×31371
LCM(3132,3137) = 9825084

Factors of 3132

List of positive integer factors of 3132 that divides 3132 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132

Factors of 3137

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

1, 3137

Least Common Multiple of 3132 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 3132 and 3137, than apply into the LCM equation.

GCF(3132,3137) = 1
LCM(3132,3137) = ( 3132 × 3137) / 1
LCM(3132,3137) = 9825084 / 1
LCM(3132,3137) = 9825084

Properties of LCM 3132 and 3137

(i) The LCM of 3137 and 3132 is associative

LCM of 3132 and 3137 = LCM of 3137 and 3132

Related Least Common Multiples of 3132

Related Least Common Multiples of 3137

Frequently Asked Questions on LCM of 3132 and 3137

1. What is the LCM of 3132 and 3137?

Answer: LCM of 3132 and 3137 is 9825084.

2. What are the Factors of 3132?

Answer: Factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132. There are 24 integers that are factors of 3132. The greatest factor of 3132 is 3132.

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 3132 and 3137?

Answer:

Least Common Multiple of 3132 and 3137 = 9825084

Step 1: Find the prime factorization of 3132

3132 = 2 x 2 x 3 x 3 x 3 x 29

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 = 9825084 = 2 x 2 x 3 x 3 x 3 x 29 x 3137

Step 4: Therefore, the least common multiple of 3132 and 3137 is 9825084.