Least Common Multiple of 7254 and 7256

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 7256 the smallest integer that is 26317512 that is divisible by both numbers.

Least Common Multiple (LCM) of 7254 and 7256 is 26317512.

LCM(7254,7256) = 26317512

LCM of 7254 and 7256

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

LCM of:
and

Least Common Multiple of 7254 and 7256

LCM of 7254 and 7256 is 26317512

Least common multiple can be found by multiplying the highest exponent prime factors of 7254 and 7256. First we will calculate the prime factors of 7254 and 7256.

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 7256


2 7256
2 3628
2 1814
907 907
1

Prime factors of 7256 are 2,907. Prime factorization of 7256 in exponential form is:

7256 = 23×9071

Now multiplying the highest exponent prime factors to calculate the LCM of 7254 and 7256.

LCM(7254,7256) = 23×32×131×311×9071
LCM(7254,7256) = 26317512

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 7256

List of positive integer factors of 7256 that divides 7256 without a remainder.

1, 2, 4, 8, 907, 1814, 3628, 7256

Least Common Multiple of 7254 and 7256 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 7256, than apply into the LCM equation.

GCF(7254,7256) = 2
LCM(7254,7256) = ( 7254 × 7256) / 2
LCM(7254,7256) = 52635024 / 2
LCM(7254,7256) = 26317512

Properties of LCM 7254 and 7256

(i) The LCM of 7256 and 7254 is associative

LCM of 7254 and 7256 = LCM of 7256 and 7254

Related Least Common Multiples of 7254

Related Least Common Multiples of 7256

Frequently Asked Questions on LCM of 7254 and 7256

1. What is the LCM of 7254 and 7256?

Answer: LCM of 7254 and 7256 is 26317512.

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 7256?

Answer: Factors of 7256 are 1, 2, 4, 8, 907, 1814, 3628, 7256. There are 8 integers that are factors of 7256. The greatest factor of 7256 is 7256.

4. How to Find the LCM of 7254 and 7256?

Answer:

Least Common Multiple of 7254 and 7256 = 26317512

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 7256

7256 = 2 x 2 x 2 x 907

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

LCM = 26317512 = 2 x 2 x 2 x 3 x 3 x 13 x 31 x 907

Step 4: Therefore, the least common multiple of 7254 and 7256 is 26317512.