Least Common Multiple of 7255 and 7261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7255 and 7261 the smallest integer that is 52678555 that is divisible by both numbers.

Least Common Multiple (LCM) of 7255 and 7261 is 52678555.

LCM(7255,7261) = 52678555

LCM of 7255 and 7261

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

LCM of:
and

Least Common Multiple of 7255 and 7261

LCM of 7255 and 7261 is 52678555

Least common multiple can be found by multiplying the highest exponent prime factors of 7255 and 7261. First we will calculate the prime factors of 7255 and 7261.

Prime Factorization of 7255


5 7255
1451 1451
1

Prime factors of 7255 are 5,1451. Prime factorization of 7255 in exponential form is:

7255 = 51×14511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7255 and 7261.

LCM(7255,7261) = 51×531×1371×14511
LCM(7255,7261) = 52678555

Factors of 7255

List of positive integer factors of 7255 that divides 7255 without a remainder.

1, 5, 1451, 7255

Factors of 7261

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

1, 53, 137, 7261

Least Common Multiple of 7255 and 7261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7255 and 7261, than apply into the LCM equation.

GCF(7255,7261) = 1
LCM(7255,7261) = ( 7255 × 7261) / 1
LCM(7255,7261) = 52678555 / 1
LCM(7255,7261) = 52678555

Properties of LCM 7255 and 7261

(i) The LCM of 7261 and 7255 is associative

LCM of 7255 and 7261 = LCM of 7261 and 7255

Related Least Common Multiples of 7255

Related Least Common Multiples of 7261

Frequently Asked Questions on LCM of 7255 and 7261

1. What is the LCM of 7255 and 7261?

Answer: LCM of 7255 and 7261 is 52678555.

2. What are the Factors of 7255?

Answer: Factors of 7255 are 1, 5, 1451, 7255. There are 4 integers that are factors of 7255. The greatest factor of 7255 is 7255.

3. 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.

4. How to Find the LCM of 7255 and 7261?

Answer:

Least Common Multiple of 7255 and 7261 = 52678555

Step 1: Find the prime factorization of 7255

7255 = 5 x 1451

Step 2: Find the prime factorization of 7261

7261 = 53 x 137

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

LCM = 52678555 = 5 x 53 x 137 x 1451

Step 4: Therefore, the least common multiple of 7255 and 7261 is 52678555.