Least Common Multiple of 8732 and 8737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8732 and 8737 the smallest integer that is 76291484 that is divisible by both numbers.

Least Common Multiple (LCM) of 8732 and 8737 is 76291484.

LCM(8732,8737) = 76291484

LCM of 8732 and 8737

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

LCM of:
and

Least Common Multiple of 8732 and 8737

LCM of 8732 and 8737 is 76291484

Least common multiple can be found by multiplying the highest exponent prime factors of 8732 and 8737. First we will calculate the prime factors of 8732 and 8737.

Prime Factorization of 8732


2 8732
2 4366
37 2183
59 59
1

Prime factors of 8732 are 2, 37,59. Prime factorization of 8732 in exponential form is:

8732 = 22×371×591

Prime Factorization of 8737


8737 8737
1

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

8737 = 87371

Now multiplying the highest exponent prime factors to calculate the LCM of 8732 and 8737.

LCM(8732,8737) = 22×371×591×87371
LCM(8732,8737) = 76291484

Factors of 8732

List of positive integer factors of 8732 that divides 8732 without a remainder.

1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732

Factors of 8737

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

1, 8737

Least Common Multiple of 8732 and 8737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8732 and 8737, than apply into the LCM equation.

GCF(8732,8737) = 1
LCM(8732,8737) = ( 8732 × 8737) / 1
LCM(8732,8737) = 76291484 / 1
LCM(8732,8737) = 76291484

Properties of LCM 8732 and 8737

(i) The LCM of 8737 and 8732 is associative

LCM of 8732 and 8737 = LCM of 8737 and 8732

Related Least Common Multiples of 8732

Related Least Common Multiples of 8737

Frequently Asked Questions on LCM of 8732 and 8737

1. What is the LCM of 8732 and 8737?

Answer: LCM of 8732 and 8737 is 76291484.

2. What are the Factors of 8732?

Answer: Factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732. There are 12 integers that are factors of 8732. The greatest factor of 8732 is 8732.

3. 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.

4. How to Find the LCM of 8732 and 8737?

Answer:

Least Common Multiple of 8732 and 8737 = 76291484

Step 1: Find the prime factorization of 8732

8732 = 2 x 2 x 37 x 59

Step 2: Find the prime factorization of 8737

8737 = 8737

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

LCM = 76291484 = 2 x 2 x 37 x 59 x 8737

Step 4: Therefore, the least common multiple of 8732 and 8737 is 76291484.