Least Common Multiple of 7132 and 7136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7132 and 7136 the smallest integer that is 12723488 that is divisible by both numbers.

Least Common Multiple (LCM) of 7132 and 7136 is 12723488.

LCM(7132,7136) = 12723488

LCM of 7132 and 7136

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

LCM of:
and

Least Common Multiple of 7132 and 7136

LCM of 7132 and 7136 is 12723488

Least common multiple can be found by multiplying the highest exponent prime factors of 7132 and 7136. First we will calculate the prime factors of 7132 and 7136.

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

Prime Factorization of 7136


2 7136
2 3568
2 1784
2 892
2 446
223 223
1

Prime factors of 7136 are 2,223. Prime factorization of 7136 in exponential form is:

7136 = 25×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 7132 and 7136.

LCM(7132,7136) = 25×2231×17831
LCM(7132,7136) = 12723488

Factors of 7132

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

1, 2, 4, 1783, 3566, 7132

Factors of 7136

List of positive integer factors of 7136 that divides 7136 without a remainder.

1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136

Least Common Multiple of 7132 and 7136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7132 and 7136, than apply into the LCM equation.

GCF(7132,7136) = 4
LCM(7132,7136) = ( 7132 × 7136) / 4
LCM(7132,7136) = 50893952 / 4
LCM(7132,7136) = 12723488

Properties of LCM 7132 and 7136

(i) The LCM of 7136 and 7132 is associative

LCM of 7132 and 7136 = LCM of 7136 and 7132

Related Least Common Multiples of 7132

Related Least Common Multiples of 7136

Frequently Asked Questions on LCM of 7132 and 7136

1. What is the LCM of 7132 and 7136?

Answer: LCM of 7132 and 7136 is 12723488.

2. 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.

3. What are the Factors of 7136?

Answer: Factors of 7136 are 1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136. There are 12 integers that are factors of 7136. The greatest factor of 7136 is 7136.

4. How to Find the LCM of 7132 and 7136?

Answer:

Least Common Multiple of 7132 and 7136 = 12723488

Step 1: Find the prime factorization of 7132

7132 = 2 x 2 x 1783

Step 2: Find the prime factorization of 7136

7136 = 2 x 2 x 2 x 2 x 2 x 223

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

LCM = 12723488 = 2 x 2 x 2 x 2 x 2 x 223 x 1783

Step 4: Therefore, the least common multiple of 7132 and 7136 is 12723488.