Least Common Multiple of 7328 and 7332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7328 and 7332 the smallest integer that is 13432224 that is divisible by both numbers.

Least Common Multiple (LCM) of 7328 and 7332 is 13432224.

LCM(7328,7332) = 13432224

LCM of 7328 and 7332

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

LCM of:
and

Least Common Multiple of 7328 and 7332

LCM of 7328 and 7332 is 13432224

Least common multiple can be found by multiplying the highest exponent prime factors of 7328 and 7332. First we will calculate the prime factors of 7328 and 7332.

Prime Factorization of 7328


2 7328
2 3664
2 1832
2 916
2 458
229 229
1

Prime factors of 7328 are 2,229. Prime factorization of 7328 in exponential form is:

7328 = 25×2291

Prime Factorization of 7332


2 7332
2 3666
3 1833
13 611
47 47
1

Prime factors of 7332 are 2, 3, 13,47. Prime factorization of 7332 in exponential form is:

7332 = 22×31×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7328 and 7332.

LCM(7328,7332) = 25×31×131×471×2291
LCM(7328,7332) = 13432224

Factors of 7328

List of positive integer factors of 7328 that divides 7328 without a remainder.

1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328

Factors of 7332

List of positive integer factors of 7332 that divides 7332 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332

Least Common Multiple of 7328 and 7332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7328 and 7332, than apply into the LCM equation.

GCF(7328,7332) = 4
LCM(7328,7332) = ( 7328 × 7332) / 4
LCM(7328,7332) = 53728896 / 4
LCM(7328,7332) = 13432224

Properties of LCM 7328 and 7332

(i) The LCM of 7332 and 7328 is associative

LCM of 7328 and 7332 = LCM of 7332 and 7328

Related Least Common Multiples of 7328

Related Least Common Multiples of 7332

Frequently Asked Questions on LCM of 7328 and 7332

1. What is the LCM of 7328 and 7332?

Answer: LCM of 7328 and 7332 is 13432224.

2. What are the Factors of 7328?

Answer: Factors of 7328 are 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328. There are 12 integers that are factors of 7328. The greatest factor of 7328 is 7328.

3. What are the Factors of 7332?

Answer: Factors of 7332 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332. There are 24 integers that are factors of 7332. The greatest factor of 7332 is 7332.

4. How to Find the LCM of 7328 and 7332?

Answer:

Least Common Multiple of 7328 and 7332 = 13432224

Step 1: Find the prime factorization of 7328

7328 = 2 x 2 x 2 x 2 x 2 x 229

Step 2: Find the prime factorization of 7332

7332 = 2 x 2 x 3 x 13 x 47

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

LCM = 13432224 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 47 x 229

Step 4: Therefore, the least common multiple of 7328 and 7332 is 13432224.