Least Common Multiple of 8737 and 8744

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 8744 the smallest integer that is 76396328 that is divisible by both numbers.

Least Common Multiple (LCM) of 8737 and 8744 is 76396328.

LCM(8737,8744) = 76396328

LCM of 8737 and 8744

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

LCM of:
and

Least Common Multiple of 8737 and 8744

LCM of 8737 and 8744 is 76396328

Least common multiple can be found by multiplying the highest exponent prime factors of 8737 and 8744. First we will calculate the prime factors of 8737 and 8744.

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 8744


2 8744
2 4372
2 2186
1093 1093
1

Prime factors of 8744 are 2,1093. Prime factorization of 8744 in exponential form is:

8744 = 23×10931

Now multiplying the highest exponent prime factors to calculate the LCM of 8737 and 8744.

LCM(8737,8744) = 23×10931×87371
LCM(8737,8744) = 76396328

Factors of 8737

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

1, 8737

Factors of 8744

List of positive integer factors of 8744 that divides 8744 without a remainder.

1, 2, 4, 8, 1093, 2186, 4372, 8744

Least Common Multiple of 8737 and 8744 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 8744, than apply into the LCM equation.

GCF(8737,8744) = 1
LCM(8737,8744) = ( 8737 × 8744) / 1
LCM(8737,8744) = 76396328 / 1
LCM(8737,8744) = 76396328

Properties of LCM 8737 and 8744

(i) The LCM of 8744 and 8737 is associative

LCM of 8737 and 8744 = LCM of 8744 and 8737

Related Least Common Multiples of 8737

Related Least Common Multiples of 8744

Frequently Asked Questions on LCM of 8737 and 8744

1. What is the LCM of 8737 and 8744?

Answer: LCM of 8737 and 8744 is 76396328.

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 8744?

Answer: Factors of 8744 are 1, 2, 4, 8, 1093, 2186, 4372, 8744. There are 8 integers that are factors of 8744. The greatest factor of 8744 is 8744.

4. How to Find the LCM of 8737 and 8744?

Answer:

Least Common Multiple of 8737 and 8744 = 76396328

Step 1: Find the prime factorization of 8737

8737 = 8737

Step 2: Find the prime factorization of 8744

8744 = 2 x 2 x 2 x 1093

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

LCM = 76396328 = 2 x 2 x 2 x 1093 x 8737

Step 4: Therefore, the least common multiple of 8737 and 8744 is 76396328.