Least Common Multiple of 7128 and 7132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7128 and 7132 the smallest integer that is 12709224 that is divisible by both numbers.

Least Common Multiple (LCM) of 7128 and 7132 is 12709224.

LCM(7128,7132) = 12709224

LCM of 7128 and 7132

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

LCM of:
and

Least Common Multiple of 7128 and 7132

LCM of 7128 and 7132 is 12709224

Least common multiple can be found by multiplying the highest exponent prime factors of 7128 and 7132. First we will calculate the prime factors of 7128 and 7132.

Prime Factorization of 7128


2 7128
2 3564
2 1782
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 7128 are 2, 3,11. Prime factorization of 7128 in exponential form is:

7128 = 23×34×111

Prime Factorization of 7132


2 7132
2 3566
1783 1783
1

Prime factors of 7132 are 2,1783. Prime factorization of 7132 in exponential form is:

7132 = 22×17831

Now multiplying the highest exponent prime factors to calculate the LCM of 7128 and 7132.

LCM(7128,7132) = 23×34×111×17831
LCM(7128,7132) = 12709224

Factors of 7128

List of positive integer factors of 7128 that divides 7128 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 264, 297, 324, 396, 594, 648, 792, 891, 1188, 1782, 2376, 3564, 7128

Factors of 7132

List of positive integer factors of 7132 that divides 7132 without a remainder.

1, 2, 4, 1783, 3566, 7132

Least Common Multiple of 7128 and 7132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7128 and 7132, than apply into the LCM equation.

GCF(7128,7132) = 4
LCM(7128,7132) = ( 7128 × 7132) / 4
LCM(7128,7132) = 50836896 / 4
LCM(7128,7132) = 12709224

Properties of LCM 7128 and 7132

(i) The LCM of 7132 and 7128 is associative

LCM of 7128 and 7132 = LCM of 7132 and 7128

Related Least Common Multiples of 7128

Related Least Common Multiples of 7132

Frequently Asked Questions on LCM of 7128 and 7132

1. What is the LCM of 7128 and 7132?

Answer: LCM of 7128 and 7132 is 12709224.

2. What are the Factors of 7128?

Answer: Factors of 7128 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 264, 297, 324, 396, 594, 648, 792, 891, 1188, 1782, 2376, 3564, 7128. There are 40 integers that are factors of 7128. The greatest factor of 7128 is 7128.

3. What are the Factors of 7132?

Answer: Factors of 7132 are 1, 2, 4, 1783, 3566, 7132. There are 6 integers that are factors of 7132. The greatest factor of 7132 is 7132.

4. How to Find the LCM of 7128 and 7132?

Answer:

Least Common Multiple of 7128 and 7132 = 12709224

Step 1: Find the prime factorization of 7128

7128 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 7132

7132 = 2 x 2 x 1783

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

LCM = 12709224 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 1783

Step 4: Therefore, the least common multiple of 7128 and 7132 is 12709224.