Least Common Multiple of 7254 and 7260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7254 and 7260 the smallest integer that is 8777340 that is divisible by both numbers.

Least Common Multiple (LCM) of 7254 and 7260 is 8777340.

LCM(7254,7260) = 8777340

LCM of 7254 and 7260

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

LCM of:
and

Least Common Multiple of 7254 and 7260

LCM of 7254 and 7260 is 8777340

Least common multiple can be found by multiplying the highest exponent prime factors of 7254 and 7260. First we will calculate the prime factors of 7254 and 7260.

Prime Factorization of 7254


2 7254
3 3627
3 1209
13 403
31 31
1

Prime factors of 7254 are 2, 3, 13,31. Prime factorization of 7254 in exponential form is:

7254 = 21×32×131×311

Prime Factorization of 7260


2 7260
2 3630
3 1815
5 605
11 121
11 11
1

Prime factors of 7260 are 2, 3, 5,11. Prime factorization of 7260 in exponential form is:

7260 = 22×31×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 7254 and 7260.

LCM(7254,7260) = 22×32×51×112×131×311
LCM(7254,7260) = 8777340

Factors of 7254

List of positive integer factors of 7254 that divides 7254 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254

Factors of 7260

List of positive integer factors of 7260 that divides 7260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260

Least Common Multiple of 7254 and 7260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7254 and 7260, than apply into the LCM equation.

GCF(7254,7260) = 6
LCM(7254,7260) = ( 7254 × 7260) / 6
LCM(7254,7260) = 52664040 / 6
LCM(7254,7260) = 8777340

Properties of LCM 7254 and 7260

(i) The LCM of 7260 and 7254 is associative

LCM of 7254 and 7260 = LCM of 7260 and 7254

Related Least Common Multiples of 7254

Related Least Common Multiples of 7260

Frequently Asked Questions on LCM of 7254 and 7260

1. What is the LCM of 7254 and 7260?

Answer: LCM of 7254 and 7260 is 8777340.

2. What are the Factors of 7254?

Answer: Factors of 7254 are 1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254. There are 24 integers that are factors of 7254. The greatest factor of 7254 is 7254.

3. What are the Factors of 7260?

Answer: Factors of 7260 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260. There are 36 integers that are factors of 7260. The greatest factor of 7260 is 7260.

4. How to Find the LCM of 7254 and 7260?

Answer:

Least Common Multiple of 7254 and 7260 = 8777340

Step 1: Find the prime factorization of 7254

7254 = 2 x 3 x 3 x 13 x 31

Step 2: Find the prime factorization of 7260

7260 = 2 x 2 x 3 x 5 x 11 x 11

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

LCM = 8777340 = 2 x 2 x 3 x 3 x 5 x 11 x 11 x 13 x 31

Step 4: Therefore, the least common multiple of 7254 and 7260 is 8777340.