Least Common Multiple of 1296 and 1304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1296 and 1304 the smallest integer that is 211248 that is divisible by both numbers.

Least Common Multiple (LCM) of 1296 and 1304 is 211248.

LCM(1296,1304) = 211248

LCM of 1296 and 1304

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

LCM of:
and

Least Common Multiple of 1296 and 1304

LCM of 1296 and 1304 is 211248

Least common multiple can be found by multiplying the highest exponent prime factors of 1296 and 1304. First we will calculate the prime factors of 1296 and 1304.

Prime Factorization of 1296


2 1296
2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 1296 are 2,3. Prime factorization of 1296 in exponential form is:

1296 = 24×34

Prime Factorization of 1304


2 1304
2 652
2 326
163 163
1

Prime factors of 1304 are 2,163. Prime factorization of 1304 in exponential form is:

1304 = 23×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 1296 and 1304.

LCM(1296,1304) = 24×34×1631
LCM(1296,1304) = 211248

Factors of 1296

List of positive integer factors of 1296 that divides 1296 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296

Factors of 1304

List of positive integer factors of 1304 that divides 1304 without a remainder.

1, 2, 4, 8, 163, 326, 652, 1304

Least Common Multiple of 1296 and 1304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1296 and 1304, than apply into the LCM equation.

GCF(1296,1304) = 8
LCM(1296,1304) = ( 1296 × 1304) / 8
LCM(1296,1304) = 1689984 / 8
LCM(1296,1304) = 211248

Properties of LCM 1296 and 1304

(i) The LCM of 1304 and 1296 is associative

LCM of 1296 and 1304 = LCM of 1304 and 1296

Related Least Common Multiples of 1296

Related Least Common Multiples of 1304

Frequently Asked Questions on LCM of 1296 and 1304

1. What is the LCM of 1296 and 1304?

Answer: LCM of 1296 and 1304 is 211248.

2. What are the Factors of 1296?

Answer: Factors of 1296 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296. There are 25 integers that are factors of 1296. The greatest factor of 1296 is 1296.

3. What are the Factors of 1304?

Answer: Factors of 1304 are 1, 2, 4, 8, 163, 326, 652, 1304. There are 8 integers that are factors of 1304. The greatest factor of 1304 is 1304.

4. How to Find the LCM of 1296 and 1304?

Answer:

Least Common Multiple of 1296 and 1304 = 211248

Step 1: Find the prime factorization of 1296

1296 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 1304

1304 = 2 x 2 x 2 x 163

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

LCM = 211248 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 163

Step 4: Therefore, the least common multiple of 1296 and 1304 is 211248.