Least Common Multiple of 7328 and 7336

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 7336 the smallest integer that is 6719776 that is divisible by both numbers.

Least Common Multiple (LCM) of 7328 and 7336 is 6719776.

LCM(7328,7336) = 6719776

LCM of 7328 and 7336

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

LCM of:
and

Least Common Multiple of 7328 and 7336

LCM of 7328 and 7336 is 6719776

Least common multiple can be found by multiplying the highest exponent prime factors of 7328 and 7336. First we will calculate the prime factors of 7328 and 7336.

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 7336


2 7336
2 3668
2 1834
7 917
131 131
1

Prime factors of 7336 are 2, 7,131. Prime factorization of 7336 in exponential form is:

7336 = 23×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7328 and 7336.

LCM(7328,7336) = 25×71×1311×2291
LCM(7328,7336) = 6719776

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 7336

List of positive integer factors of 7336 that divides 7336 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 131, 262, 524, 917, 1048, 1834, 3668, 7336

Least Common Multiple of 7328 and 7336 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 7336, than apply into the LCM equation.

GCF(7328,7336) = 8
LCM(7328,7336) = ( 7328 × 7336) / 8
LCM(7328,7336) = 53758208 / 8
LCM(7328,7336) = 6719776

Properties of LCM 7328 and 7336

(i) The LCM of 7336 and 7328 is associative

LCM of 7328 and 7336 = LCM of 7336 and 7328

Related Least Common Multiples of 7328

Related Least Common Multiples of 7336

Frequently Asked Questions on LCM of 7328 and 7336

1. What is the LCM of 7328 and 7336?

Answer: LCM of 7328 and 7336 is 6719776.

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 7336?

Answer: Factors of 7336 are 1, 2, 4, 7, 8, 14, 28, 56, 131, 262, 524, 917, 1048, 1834, 3668, 7336. There are 16 integers that are factors of 7336. The greatest factor of 7336 is 7336.

4. How to Find the LCM of 7328 and 7336?

Answer:

Least Common Multiple of 7328 and 7336 = 6719776

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 7336

7336 = 2 x 2 x 2 x 7 x 131

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

LCM = 6719776 = 2 x 2 x 2 x 2 x 2 x 7 x 131 x 229

Step 4: Therefore, the least common multiple of 7328 and 7336 is 6719776.