Least Common Multiple of 3132 and 3136

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 3136 the smallest integer that is 2455488 that is divisible by both numbers.

Least Common Multiple (LCM) of 3132 and 3136 is 2455488.

LCM(3132,3136) = 2455488

LCM of 3132 and 3136

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

LCM of:
and

Least Common Multiple of 3132 and 3136

LCM of 3132 and 3136 is 2455488

Least common multiple can be found by multiplying the highest exponent prime factors of 3132 and 3136. First we will calculate the prime factors of 3132 and 3136.

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 3136


2 3136
2 1568
2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 3136 are 2,7. Prime factorization of 3136 in exponential form is:

3136 = 26×72

Now multiplying the highest exponent prime factors to calculate the LCM of 3132 and 3136.

LCM(3132,3136) = 26×33×72×291
LCM(3132,3136) = 2455488

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 3136

List of positive integer factors of 3136 that divides 3136 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136

Least Common Multiple of 3132 and 3136 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 3136, than apply into the LCM equation.

GCF(3132,3136) = 4
LCM(3132,3136) = ( 3132 × 3136) / 4
LCM(3132,3136) = 9821952 / 4
LCM(3132,3136) = 2455488

Properties of LCM 3132 and 3136

(i) The LCM of 3136 and 3132 is associative

LCM of 3132 and 3136 = LCM of 3136 and 3132

Related Least Common Multiples of 3132

Related Least Common Multiples of 3136

Frequently Asked Questions on LCM of 3132 and 3136

1. What is the LCM of 3132 and 3136?

Answer: LCM of 3132 and 3136 is 2455488.

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 3136?

Answer: Factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136. There are 21 integers that are factors of 3136. The greatest factor of 3136 is 3136.

4. How to Find the LCM of 3132 and 3136?

Answer:

Least Common Multiple of 3132 and 3136 = 2455488

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 3136

3136 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7

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

LCM = 2455488 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 29

Step 4: Therefore, the least common multiple of 3132 and 3136 is 2455488.