Least Common Multiple of 7319 and 7325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7319 and 7325 the smallest integer that is 53611675 that is divisible by both numbers.

Least Common Multiple (LCM) of 7319 and 7325 is 53611675.

LCM(7319,7325) = 53611675

LCM of 7319 and 7325

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

LCM of:
and

Least Common Multiple of 7319 and 7325

LCM of 7319 and 7325 is 53611675

Least common multiple can be found by multiplying the highest exponent prime factors of 7319 and 7325. First we will calculate the prime factors of 7319 and 7325.

Prime Factorization of 7319


13 7319
563 563
1

Prime factors of 7319 are 13,563. Prime factorization of 7319 in exponential form is:

7319 = 131×5631

Prime Factorization of 7325


5 7325
5 1465
293 293
1

Prime factors of 7325 are 5,293. Prime factorization of 7325 in exponential form is:

7325 = 52×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 7319 and 7325.

LCM(7319,7325) = 52×131×2931×5631
LCM(7319,7325) = 53611675

Factors of 7319

List of positive integer factors of 7319 that divides 7319 without a remainder.

1, 13, 563, 7319

Factors of 7325

List of positive integer factors of 7325 that divides 7325 without a remainder.

1, 5, 25, 293, 1465, 7325

Least Common Multiple of 7319 and 7325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7319 and 7325, than apply into the LCM equation.

GCF(7319,7325) = 1
LCM(7319,7325) = ( 7319 × 7325) / 1
LCM(7319,7325) = 53611675 / 1
LCM(7319,7325) = 53611675

Properties of LCM 7319 and 7325

(i) The LCM of 7325 and 7319 is associative

LCM of 7319 and 7325 = LCM of 7325 and 7319

Related Least Common Multiples of 7319

Related Least Common Multiples of 7325

Frequently Asked Questions on LCM of 7319 and 7325

1. What is the LCM of 7319 and 7325?

Answer: LCM of 7319 and 7325 is 53611675.

2. What are the Factors of 7319?

Answer: Factors of 7319 are 1, 13, 563, 7319. There are 4 integers that are factors of 7319. The greatest factor of 7319 is 7319.

3. What are the Factors of 7325?

Answer: Factors of 7325 are 1, 5, 25, 293, 1465, 7325. There are 6 integers that are factors of 7325. The greatest factor of 7325 is 7325.

4. How to Find the LCM of 7319 and 7325?

Answer:

Least Common Multiple of 7319 and 7325 = 53611675

Step 1: Find the prime factorization of 7319

7319 = 13 x 563

Step 2: Find the prime factorization of 7325

7325 = 5 x 5 x 293

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

LCM = 53611675 = 5 x 5 x 13 x 293 x 563

Step 4: Therefore, the least common multiple of 7319 and 7325 is 53611675.