Least Common Multiple of 8725 and 8733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8725 and 8733 the smallest integer that is 76195425 that is divisible by both numbers.

Least Common Multiple (LCM) of 8725 and 8733 is 76195425.

LCM(8725,8733) = 76195425

LCM of 8725 and 8733

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

LCM of:
and

Least Common Multiple of 8725 and 8733

LCM of 8725 and 8733 is 76195425

Least common multiple can be found by multiplying the highest exponent prime factors of 8725 and 8733. First we will calculate the prime factors of 8725 and 8733.

Prime Factorization of 8725


5 8725
5 1745
349 349
1

Prime factors of 8725 are 5,349. Prime factorization of 8725 in exponential form is:

8725 = 52×3491

Prime Factorization of 8733


3 8733
41 2911
71 71
1

Prime factors of 8733 are 3, 41,71. Prime factorization of 8733 in exponential form is:

8733 = 31×411×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8725 and 8733.

LCM(8725,8733) = 31×52×411×711×3491
LCM(8725,8733) = 76195425

Factors of 8725

List of positive integer factors of 8725 that divides 8725 without a remainder.

1, 5, 25, 349, 1745, 8725

Factors of 8733

List of positive integer factors of 8733 that divides 8733 without a remainder.

1, 3, 41, 71, 123, 213, 2911, 8733

Least Common Multiple of 8725 and 8733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8725 and 8733, than apply into the LCM equation.

GCF(8725,8733) = 1
LCM(8725,8733) = ( 8725 × 8733) / 1
LCM(8725,8733) = 76195425 / 1
LCM(8725,8733) = 76195425

Properties of LCM 8725 and 8733

(i) The LCM of 8733 and 8725 is associative

LCM of 8725 and 8733 = LCM of 8733 and 8725

Related Least Common Multiples of 8725

Related Least Common Multiples of 8733

Frequently Asked Questions on LCM of 8725 and 8733

1. What is the LCM of 8725 and 8733?

Answer: LCM of 8725 and 8733 is 76195425.

2. What are the Factors of 8725?

Answer: Factors of 8725 are 1, 5, 25, 349, 1745, 8725. There are 6 integers that are factors of 8725. The greatest factor of 8725 is 8725.

3. What are the Factors of 8733?

Answer: Factors of 8733 are 1, 3, 41, 71, 123, 213, 2911, 8733. There are 8 integers that are factors of 8733. The greatest factor of 8733 is 8733.

4. How to Find the LCM of 8725 and 8733?

Answer:

Least Common Multiple of 8725 and 8733 = 76195425

Step 1: Find the prime factorization of 8725

8725 = 5 x 5 x 349

Step 2: Find the prime factorization of 8733

8733 = 3 x 41 x 71

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

LCM = 76195425 = 3 x 5 x 5 x 41 x 71 x 349

Step 4: Therefore, the least common multiple of 8725 and 8733 is 76195425.