Least Common Multiple of 3132 and 3134

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 3134 the smallest integer that is 4907844 that is divisible by both numbers.

Least Common Multiple (LCM) of 3132 and 3134 is 4907844.

LCM(3132,3134) = 4907844

LCM of 3132 and 3134

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

LCM of:
and

Least Common Multiple of 3132 and 3134

LCM of 3132 and 3134 is 4907844

Least common multiple can be found by multiplying the highest exponent prime factors of 3132 and 3134. First we will calculate the prime factors of 3132 and 3134.

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 3134


2 3134
1567 1567
1

Prime factors of 3134 are 2,1567. Prime factorization of 3134 in exponential form is:

3134 = 21×15671

Now multiplying the highest exponent prime factors to calculate the LCM of 3132 and 3134.

LCM(3132,3134) = 22×33×291×15671
LCM(3132,3134) = 4907844

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 3134

List of positive integer factors of 3134 that divides 3134 without a remainder.

1, 2, 1567, 3134

Least Common Multiple of 3132 and 3134 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 3134, than apply into the LCM equation.

GCF(3132,3134) = 2
LCM(3132,3134) = ( 3132 × 3134) / 2
LCM(3132,3134) = 9815688 / 2
LCM(3132,3134) = 4907844

Properties of LCM 3132 and 3134

(i) The LCM of 3134 and 3132 is associative

LCM of 3132 and 3134 = LCM of 3134 and 3132

Related Least Common Multiples of 3132

Related Least Common Multiples of 3134

Frequently Asked Questions on LCM of 3132 and 3134

1. What is the LCM of 3132 and 3134?

Answer: LCM of 3132 and 3134 is 4907844.

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 3134?

Answer: Factors of 3134 are 1, 2, 1567, 3134. There are 4 integers that are factors of 3134. The greatest factor of 3134 is 3134.

4. How to Find the LCM of 3132 and 3134?

Answer:

Least Common Multiple of 3132 and 3134 = 4907844

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 3134

3134 = 2 x 1567

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

LCM = 4907844 = 2 x 2 x 3 x 3 x 3 x 29 x 1567

Step 4: Therefore, the least common multiple of 3132 and 3134 is 4907844.