Least Common Multiple of 8737 and 8745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8737 and 8745 the smallest integer that is 76405065 that is divisible by both numbers.

Least Common Multiple (LCM) of 8737 and 8745 is 76405065.

LCM(8737,8745) = 76405065

LCM of 8737 and 8745

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

LCM of:
and

Least Common Multiple of 8737 and 8745

LCM of 8737 and 8745 is 76405065

Least common multiple can be found by multiplying the highest exponent prime factors of 8737 and 8745. First we will calculate the prime factors of 8737 and 8745.

Prime Factorization of 8737


8737 8737
1

Prime factors of 8737 are 8737. Prime factorization of 8737 in exponential form is:

8737 = 87371

Prime Factorization of 8745


3 8745
5 2915
11 583
53 53
1

Prime factors of 8745 are 3, 5, 11,53. Prime factorization of 8745 in exponential form is:

8745 = 31×51×111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 8737 and 8745.

LCM(8737,8745) = 31×51×111×531×87371
LCM(8737,8745) = 76405065

Factors of 8737

List of positive integer factors of 8737 that divides 8737 without a remainder.

1, 8737

Factors of 8745

List of positive integer factors of 8745 that divides 8745 without a remainder.

1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745

Least Common Multiple of 8737 and 8745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8737 and 8745, than apply into the LCM equation.

GCF(8737,8745) = 1
LCM(8737,8745) = ( 8737 × 8745) / 1
LCM(8737,8745) = 76405065 / 1
LCM(8737,8745) = 76405065

Properties of LCM 8737 and 8745

(i) The LCM of 8745 and 8737 is associative

LCM of 8737 and 8745 = LCM of 8745 and 8737

Related Least Common Multiples of 8737

Related Least Common Multiples of 8745

Frequently Asked Questions on LCM of 8737 and 8745

1. What is the LCM of 8737 and 8745?

Answer: LCM of 8737 and 8745 is 76405065.

2. What are the Factors of 8737?

Answer: Factors of 8737 are 1, 8737. There are 2 integers that are factors of 8737. The greatest factor of 8737 is 8737.

3. What are the Factors of 8745?

Answer: Factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745. There are 16 integers that are factors of 8745. The greatest factor of 8745 is 8745.

4. How to Find the LCM of 8737 and 8745?

Answer:

Least Common Multiple of 8737 and 8745 = 76405065

Step 1: Find the prime factorization of 8737

8737 = 8737

Step 2: Find the prime factorization of 8745

8745 = 3 x 5 x 11 x 53

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

LCM = 76405065 = 3 x 5 x 11 x 53 x 8737

Step 4: Therefore, the least common multiple of 8737 and 8745 is 76405065.