Least Common Multiple of 7276 and 7280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7276 and 7280 the smallest integer that is 13242320 that is divisible by both numbers.

Least Common Multiple (LCM) of 7276 and 7280 is 13242320.

LCM(7276,7280) = 13242320

LCM of 7276 and 7280

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

LCM of:
and

Least Common Multiple of 7276 and 7280

LCM of 7276 and 7280 is 13242320

Least common multiple can be found by multiplying the highest exponent prime factors of 7276 and 7280. First we will calculate the prime factors of 7276 and 7280.

Prime Factorization of 7276


2 7276
2 3638
17 1819
107 107
1

Prime factors of 7276 are 2, 17,107. Prime factorization of 7276 in exponential form is:

7276 = 22×171×1071

Prime Factorization of 7280


2 7280
2 3640
2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 7280 are 2, 5, 7,13. Prime factorization of 7280 in exponential form is:

7280 = 24×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 7276 and 7280.

LCM(7276,7280) = 24×51×71×131×171×1071
LCM(7276,7280) = 13242320

Factors of 7276

List of positive integer factors of 7276 that divides 7276 without a remainder.

1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276

Factors of 7280

List of positive integer factors of 7280 that divides 7280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280

Least Common Multiple of 7276 and 7280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7276 and 7280, than apply into the LCM equation.

GCF(7276,7280) = 4
LCM(7276,7280) = ( 7276 × 7280) / 4
LCM(7276,7280) = 52969280 / 4
LCM(7276,7280) = 13242320

Properties of LCM 7276 and 7280

(i) The LCM of 7280 and 7276 is associative

LCM of 7276 and 7280 = LCM of 7280 and 7276

Related Least Common Multiples of 7276

Related Least Common Multiples of 7280

Frequently Asked Questions on LCM of 7276 and 7280

1. What is the LCM of 7276 and 7280?

Answer: LCM of 7276 and 7280 is 13242320.

2. What are the Factors of 7276?

Answer: Factors of 7276 are 1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276. There are 12 integers that are factors of 7276. The greatest factor of 7276 is 7276.

3. What are the Factors of 7280?

Answer: Factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280. There are 40 integers that are factors of 7280. The greatest factor of 7280 is 7280.

4. How to Find the LCM of 7276 and 7280?

Answer:

Least Common Multiple of 7276 and 7280 = 13242320

Step 1: Find the prime factorization of 7276

7276 = 2 x 2 x 17 x 107

Step 2: Find the prime factorization of 7280

7280 = 2 x 2 x 2 x 2 x 5 x 7 x 13

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

LCM = 13242320 = 2 x 2 x 2 x 2 x 5 x 7 x 13 x 17 x 107

Step 4: Therefore, the least common multiple of 7276 and 7280 is 13242320.