Least Common Multiple of 7254 and 7259

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 7259 the smallest integer that is 52656786 that is divisible by both numbers.

Least Common Multiple (LCM) of 7254 and 7259 is 52656786.

LCM(7254,7259) = 52656786

LCM of 7254 and 7259

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

LCM of:
and

Least Common Multiple of 7254 and 7259

LCM of 7254 and 7259 is 52656786

Least common multiple can be found by multiplying the highest exponent prime factors of 7254 and 7259. First we will calculate the prime factors of 7254 and 7259.

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 7259


7 7259
17 1037
61 61
1

Prime factors of 7259 are 7, 17,61. Prime factorization of 7259 in exponential form is:

7259 = 71×171×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7254 and 7259.

LCM(7254,7259) = 21×32×71×131×171×311×611
LCM(7254,7259) = 52656786

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 7259

List of positive integer factors of 7259 that divides 7259 without a remainder.

1, 7, 17, 61, 119, 427, 1037, 7259

Least Common Multiple of 7254 and 7259 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 7259, than apply into the LCM equation.

GCF(7254,7259) = 1
LCM(7254,7259) = ( 7254 × 7259) / 1
LCM(7254,7259) = 52656786 / 1
LCM(7254,7259) = 52656786

Properties of LCM 7254 and 7259

(i) The LCM of 7259 and 7254 is associative

LCM of 7254 and 7259 = LCM of 7259 and 7254

Related Least Common Multiples of 7254

Related Least Common Multiples of 7259

Frequently Asked Questions on LCM of 7254 and 7259

1. What is the LCM of 7254 and 7259?

Answer: LCM of 7254 and 7259 is 52656786.

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 7259?

Answer: Factors of 7259 are 1, 7, 17, 61, 119, 427, 1037, 7259. There are 8 integers that are factors of 7259. The greatest factor of 7259 is 7259.

4. How to Find the LCM of 7254 and 7259?

Answer:

Least Common Multiple of 7254 and 7259 = 52656786

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 7259

7259 = 7 x 17 x 61

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

LCM = 52656786 = 2 x 3 x 3 x 7 x 13 x 17 x 31 x 61

Step 4: Therefore, the least common multiple of 7254 and 7259 is 52656786.