Least Common Multiple of 319 and 325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 319 and 325 the smallest integer that is 103675 that is divisible by both numbers.

Least Common Multiple (LCM) of 319 and 325 is 103675.

LCM(319,325) = 103675

LCM of 319 and 325

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

LCM of:
and

Least Common Multiple of 319 and 325

LCM of 319 and 325 is 103675

Least common multiple can be found by multiplying the highest exponent prime factors of 319 and 325. First we will calculate the prime factors of 319 and 325.

Prime Factorization of 319


11 319
29 29
1

Prime factors of 319 are 11,29. Prime factorization of 319 in exponential form is:

319 = 111×291

Prime Factorization of 325


5 325
5 65
13 13
1

Prime factors of 325 are 5,13. Prime factorization of 325 in exponential form is:

325 = 52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 319 and 325.

LCM(319,325) = 52×111×131×291
LCM(319,325) = 103675

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Least Common Multiple of 319 and 325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 319 and 325, than apply into the LCM equation.

GCF(319,325) = 1
LCM(319,325) = ( 319 × 325) / 1
LCM(319,325) = 103675 / 1
LCM(319,325) = 103675

Properties of LCM 319 and 325

(i) The LCM of 325 and 319 is associative

LCM of 319 and 325 = LCM of 325 and 319

Related Least Common Multiples of 319

Related Least Common Multiples of 325

Frequently Asked Questions on LCM of 319 and 325

1. What is the LCM of 319 and 325?

Answer: LCM of 319 and 325 is 103675.

2. What are the Factors of 319?

Answer: Factors of 319 are 1, 11, 29, 319. There are 4 integers that are factors of 319. The greatest factor of 319 is 319.

3. What are the Factors of 325?

Answer: Factors of 325 are 1, 5, 13, 25, 65, 325. There are 6 integers that are factors of 325. The greatest factor of 325 is 325.

4. How to Find the LCM of 319 and 325?

Answer:

Least Common Multiple of 319 and 325 = 103675

Step 1: Find the prime factorization of 319

319 = 11 x 29

Step 2: Find the prime factorization of 325

325 = 5 x 5 x 13

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

LCM = 103675 = 5 x 5 x 11 x 13 x 29

Step 4: Therefore, the least common multiple of 319 and 325 is 103675.