Least Common Multiple of 3132 and 3140

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 3140 the smallest integer that is 2458620 that is divisible by both numbers.

Least Common Multiple (LCM) of 3132 and 3140 is 2458620.

LCM(3132,3140) = 2458620

LCM of 3132 and 3140

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

LCM of:
and

Least Common Multiple of 3132 and 3140

LCM of 3132 and 3140 is 2458620

Least common multiple can be found by multiplying the highest exponent prime factors of 3132 and 3140. First we will calculate the prime factors of 3132 and 3140.

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 3140


2 3140
2 1570
5 785
157 157
1

Prime factors of 3140 are 2, 5,157. Prime factorization of 3140 in exponential form is:

3140 = 22×51×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 3132 and 3140.

LCM(3132,3140) = 22×33×51×291×1571
LCM(3132,3140) = 2458620

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 3140

List of positive integer factors of 3140 that divides 3140 without a remainder.

1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140

Least Common Multiple of 3132 and 3140 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 3140, than apply into the LCM equation.

GCF(3132,3140) = 4
LCM(3132,3140) = ( 3132 × 3140) / 4
LCM(3132,3140) = 9834480 / 4
LCM(3132,3140) = 2458620

Properties of LCM 3132 and 3140

(i) The LCM of 3140 and 3132 is associative

LCM of 3132 and 3140 = LCM of 3140 and 3132

Related Least Common Multiples of 3132

Related Least Common Multiples of 3140

Frequently Asked Questions on LCM of 3132 and 3140

1. What is the LCM of 3132 and 3140?

Answer: LCM of 3132 and 3140 is 2458620.

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 3140?

Answer: Factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140. There are 12 integers that are factors of 3140. The greatest factor of 3140 is 3140.

4. How to Find the LCM of 3132 and 3140?

Answer:

Least Common Multiple of 3132 and 3140 = 2458620

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 3140

3140 = 2 x 2 x 5 x 157

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

LCM = 2458620 = 2 x 2 x 3 x 3 x 3 x 5 x 29 x 157

Step 4: Therefore, the least common multiple of 3132 and 3140 is 2458620.