Least Common Multiple of 3124 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 3124 and 3132 the smallest integer that is 2446092 that is divisible by both numbers.

Least Common Multiple (LCM) of 3124 and 3132 is 2446092.

LCM(3124,3132) = 2446092

LCM of 3124 and 3132

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

LCM of:
and

Least Common Multiple of 3124 and 3132

LCM of 3124 and 3132 is 2446092

Least common multiple can be found by multiplying the highest exponent prime factors of 3124 and 3132. First we will calculate the prime factors of 3124 and 3132.

Prime Factorization of 3124


2 3124
2 1562
11 781
71 71
1

Prime factors of 3124 are 2, 11,71. Prime factorization of 3124 in exponential form is:

3124 = 22×111×711

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 3124 and 3132.

LCM(3124,3132) = 22×33×111×291×711
LCM(3124,3132) = 2446092

Factors of 3124

List of positive integer factors of 3124 that divides 3124 without a remainder.

1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124

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 3124 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 3124 and 3132, than apply into the LCM equation.

GCF(3124,3132) = 4
LCM(3124,3132) = ( 3124 × 3132) / 4
LCM(3124,3132) = 9784368 / 4
LCM(3124,3132) = 2446092

Properties of LCM 3124 and 3132

(i) The LCM of 3132 and 3124 is associative

LCM of 3124 and 3132 = LCM of 3132 and 3124

Related Least Common Multiples of 3124

Related Least Common Multiples of 3132

Frequently Asked Questions on LCM of 3124 and 3132

1. What is the LCM of 3124 and 3132?

Answer: LCM of 3124 and 3132 is 2446092.

2. What are the Factors of 3124?

Answer: Factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124. There are 12 integers that are factors of 3124. The greatest factor of 3124 is 3124.

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 3124 and 3132?

Answer:

Least Common Multiple of 3124 and 3132 = 2446092

Step 1: Find the prime factorization of 3124

3124 = 2 x 2 x 11 x 71

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 = 2446092 = 2 x 2 x 3 x 3 x 3 x 11 x 29 x 71

Step 4: Therefore, the least common multiple of 3124 and 3132 is 2446092.