Least Common Multiple of 7264 and 7270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7264 and 7270 the smallest integer that is 26404640 that is divisible by both numbers.

Least Common Multiple (LCM) of 7264 and 7270 is 26404640.

LCM(7264,7270) = 26404640

LCM of 7264 and 7270

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

LCM of:
and

Least Common Multiple of 7264 and 7270

LCM of 7264 and 7270 is 26404640

Least common multiple can be found by multiplying the highest exponent prime factors of 7264 and 7270. First we will calculate the prime factors of 7264 and 7270.

Prime Factorization of 7264


2 7264
2 3632
2 1816
2 908
2 454
227 227
1

Prime factors of 7264 are 2,227. Prime factorization of 7264 in exponential form is:

7264 = 25×2271

Prime Factorization of 7270


2 7270
5 3635
727 727
1

Prime factors of 7270 are 2, 5,727. Prime factorization of 7270 in exponential form is:

7270 = 21×51×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 7264 and 7270.

LCM(7264,7270) = 25×51×2271×7271
LCM(7264,7270) = 26404640

Factors of 7264

List of positive integer factors of 7264 that divides 7264 without a remainder.

1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264

Factors of 7270

List of positive integer factors of 7270 that divides 7270 without a remainder.

1, 2, 5, 10, 727, 1454, 3635, 7270

Least Common Multiple of 7264 and 7270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7264 and 7270, than apply into the LCM equation.

GCF(7264,7270) = 2
LCM(7264,7270) = ( 7264 × 7270) / 2
LCM(7264,7270) = 52809280 / 2
LCM(7264,7270) = 26404640

Properties of LCM 7264 and 7270

(i) The LCM of 7270 and 7264 is associative

LCM of 7264 and 7270 = LCM of 7270 and 7264

Related Least Common Multiples of 7264

Related Least Common Multiples of 7270

Frequently Asked Questions on LCM of 7264 and 7270

1. What is the LCM of 7264 and 7270?

Answer: LCM of 7264 and 7270 is 26404640.

2. What are the Factors of 7264?

Answer: Factors of 7264 are 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264. There are 12 integers that are factors of 7264. The greatest factor of 7264 is 7264.

3. What are the Factors of 7270?

Answer: Factors of 7270 are 1, 2, 5, 10, 727, 1454, 3635, 7270. There are 8 integers that are factors of 7270. The greatest factor of 7270 is 7270.

4. How to Find the LCM of 7264 and 7270?

Answer:

Least Common Multiple of 7264 and 7270 = 26404640

Step 1: Find the prime factorization of 7264

7264 = 2 x 2 x 2 x 2 x 2 x 227

Step 2: Find the prime factorization of 7270

7270 = 2 x 5 x 727

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

LCM = 26404640 = 2 x 2 x 2 x 2 x 2 x 5 x 227 x 727

Step 4: Therefore, the least common multiple of 7264 and 7270 is 26404640.