Least Common Multiple of 1320 and 1328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1320 and 1328 the smallest integer that is 219120 that is divisible by both numbers.

Least Common Multiple (LCM) of 1320 and 1328 is 219120.

LCM(1320,1328) = 219120

LCM of 1320 and 1328

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

LCM of:
and

Least Common Multiple of 1320 and 1328

LCM of 1320 and 1328 is 219120

Least common multiple can be found by multiplying the highest exponent prime factors of 1320 and 1328. First we will calculate the prime factors of 1320 and 1328.

Prime Factorization of 1320


2 1320
2 660
2 330
3 165
5 55
11 11
1

Prime factors of 1320 are 2, 3, 5,11. Prime factorization of 1320 in exponential form is:

1320 = 23×31×51×111

Prime Factorization of 1328


2 1328
2 664
2 332
2 166
83 83
1

Prime factors of 1328 are 2,83. Prime factorization of 1328 in exponential form is:

1328 = 24×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1320 and 1328.

LCM(1320,1328) = 24×31×51×111×831
LCM(1320,1328) = 219120

Factors of 1320

List of positive integer factors of 1320 that divides 1320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320

Factors of 1328

List of positive integer factors of 1328 that divides 1328 without a remainder.

1, 2, 4, 8, 16, 83, 166, 332, 664, 1328

Least Common Multiple of 1320 and 1328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1320 and 1328, than apply into the LCM equation.

GCF(1320,1328) = 8
LCM(1320,1328) = ( 1320 × 1328) / 8
LCM(1320,1328) = 1752960 / 8
LCM(1320,1328) = 219120

Properties of LCM 1320 and 1328

(i) The LCM of 1328 and 1320 is associative

LCM of 1320 and 1328 = LCM of 1328 and 1320

Related Least Common Multiples of 1320

Related Least Common Multiples of 1328

Frequently Asked Questions on LCM of 1320 and 1328

1. What is the LCM of 1320 and 1328?

Answer: LCM of 1320 and 1328 is 219120.

2. What are the Factors of 1320?

Answer: Factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320. There are 32 integers that are factors of 1320. The greatest factor of 1320 is 1320.

3. What are the Factors of 1328?

Answer: Factors of 1328 are 1, 2, 4, 8, 16, 83, 166, 332, 664, 1328. There are 10 integers that are factors of 1328. The greatest factor of 1328 is 1328.

4. How to Find the LCM of 1320 and 1328?

Answer:

Least Common Multiple of 1320 and 1328 = 219120

Step 1: Find the prime factorization of 1320

1320 = 2 x 2 x 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 1328

1328 = 2 x 2 x 2 x 2 x 83

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

LCM = 219120 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 83

Step 4: Therefore, the least common multiple of 1320 and 1328 is 219120.