Least Common Multiple of 3126 and 3132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3126 and 3132 the smallest integer that is 1631772 that is divisible by both numbers.

Least Common Multiple (LCM) of 3126 and 3132 is 1631772.

LCM(3126,3132) = 1631772

LCM of 3126 and 3132

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

LCM of:
and

Least Common Multiple of 3126 and 3132

LCM of 3126 and 3132 is 1631772

Least common multiple can be found by multiplying the highest exponent prime factors of 3126 and 3132. First we will calculate the prime factors of 3126 and 3132.

Prime Factorization of 3126


2 3126
3 1563
521 521
1

Prime factors of 3126 are 2, 3,521. Prime factorization of 3126 in exponential form is:

3126 = 21×31×5211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3126 and 3132.

LCM(3126,3132) = 22×33×291×5211
LCM(3126,3132) = 1631772

Factors of 3126

List of positive integer factors of 3126 that divides 3126 without a remainder.

1, 2, 3, 6, 521, 1042, 1563, 3126

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

Least Common Multiple of 3126 and 3132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3126 and 3132, than apply into the LCM equation.

GCF(3126,3132) = 6
LCM(3126,3132) = ( 3126 × 3132) / 6
LCM(3126,3132) = 9790632 / 6
LCM(3126,3132) = 1631772

Properties of LCM 3126 and 3132

(i) The LCM of 3132 and 3126 is associative

LCM of 3126 and 3132 = LCM of 3132 and 3126

Related Least Common Multiples of 3126

Related Least Common Multiples of 3132

Frequently Asked Questions on LCM of 3126 and 3132

1. What is the LCM of 3126 and 3132?

Answer: LCM of 3126 and 3132 is 1631772.

2. What are the Factors of 3126?

Answer: Factors of 3126 are 1, 2, 3, 6, 521, 1042, 1563, 3126. There are 8 integers that are factors of 3126. The greatest factor of 3126 is 3126.

3. 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.

4. How to Find the LCM of 3126 and 3132?

Answer:

Least Common Multiple of 3126 and 3132 = 1631772

Step 1: Find the prime factorization of 3126

3126 = 2 x 3 x 521

Step 2: Find the prime factorization of 3132

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

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

LCM = 1631772 = 2 x 2 x 3 x 3 x 3 x 29 x 521

Step 4: Therefore, the least common multiple of 3126 and 3132 is 1631772.