Least Common Multiple of 7274 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 7274 and 7280 the smallest integer that is 26477360 that is divisible by both numbers.

Least Common Multiple (LCM) of 7274 and 7280 is 26477360.

LCM(7274,7280) = 26477360

LCM of 7274 and 7280

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

LCM of:
and

Least Common Multiple of 7274 and 7280

LCM of 7274 and 7280 is 26477360

Least common multiple can be found by multiplying the highest exponent prime factors of 7274 and 7280. First we will calculate the prime factors of 7274 and 7280.

Prime Factorization of 7274


2 7274
3637 3637
1

Prime factors of 7274 are 2,3637. Prime factorization of 7274 in exponential form is:

7274 = 21×36371

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 7274 and 7280.

LCM(7274,7280) = 24×51×71×131×36371
LCM(7274,7280) = 26477360

Factors of 7274

List of positive integer factors of 7274 that divides 7274 without a remainder.

1, 2, 3637, 7274

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 7274 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 7274 and 7280, than apply into the LCM equation.

GCF(7274,7280) = 2
LCM(7274,7280) = ( 7274 × 7280) / 2
LCM(7274,7280) = 52954720 / 2
LCM(7274,7280) = 26477360

Properties of LCM 7274 and 7280

(i) The LCM of 7280 and 7274 is associative

LCM of 7274 and 7280 = LCM of 7280 and 7274

Related Least Common Multiples of 7274

Related Least Common Multiples of 7280

Frequently Asked Questions on LCM of 7274 and 7280

1. What is the LCM of 7274 and 7280?

Answer: LCM of 7274 and 7280 is 26477360.

2. What are the Factors of 7274?

Answer: Factors of 7274 are 1, 2, 3637, 7274. There are 4 integers that are factors of 7274. The greatest factor of 7274 is 7274.

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 7274 and 7280?

Answer:

Least Common Multiple of 7274 and 7280 = 26477360

Step 1: Find the prime factorization of 7274

7274 = 2 x 3637

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 = 26477360 = 2 x 2 x 2 x 2 x 5 x 7 x 13 x 3637

Step 4: Therefore, the least common multiple of 7274 and 7280 is 26477360.