Least Common Multiple of 7261 and 7264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7261 and 7264 the smallest integer that is 52743904 that is divisible by both numbers.

Least Common Multiple (LCM) of 7261 and 7264 is 52743904.

LCM(7261,7264) = 52743904

LCM of 7261 and 7264

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

LCM of:
and

Least Common Multiple of 7261 and 7264

LCM of 7261 and 7264 is 52743904

Least common multiple can be found by multiplying the highest exponent prime factors of 7261 and 7264. First we will calculate the prime factors of 7261 and 7264.

Prime Factorization of 7261


53 7261
137 137
1

Prime factors of 7261 are 53,137. Prime factorization of 7261 in exponential form is:

7261 = 531×1371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7261 and 7264.

LCM(7261,7264) = 25×531×1371×2271
LCM(7261,7264) = 52743904

Factors of 7261

List of positive integer factors of 7261 that divides 7261 without a remainder.

1, 53, 137, 7261

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

Least Common Multiple of 7261 and 7264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7261 and 7264, than apply into the LCM equation.

GCF(7261,7264) = 1
LCM(7261,7264) = ( 7261 × 7264) / 1
LCM(7261,7264) = 52743904 / 1
LCM(7261,7264) = 52743904

Properties of LCM 7261 and 7264

(i) The LCM of 7264 and 7261 is associative

LCM of 7261 and 7264 = LCM of 7264 and 7261

Related Least Common Multiples of 7261

Related Least Common Multiples of 7264

Frequently Asked Questions on LCM of 7261 and 7264

1. What is the LCM of 7261 and 7264?

Answer: LCM of 7261 and 7264 is 52743904.

2. What are the Factors of 7261?

Answer: Factors of 7261 are 1, 53, 137, 7261. There are 4 integers that are factors of 7261. The greatest factor of 7261 is 7261.

3. 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.

4. How to Find the LCM of 7261 and 7264?

Answer:

Least Common Multiple of 7261 and 7264 = 52743904

Step 1: Find the prime factorization of 7261

7261 = 53 x 137

Step 2: Find the prime factorization of 7264

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

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

LCM = 52743904 = 2 x 2 x 2 x 2 x 2 x 53 x 137 x 227

Step 4: Therefore, the least common multiple of 7261 and 7264 is 52743904.