Least Common Multiple of 8733 and 8739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8733 and 8739 the smallest integer that is 25439229 that is divisible by both numbers.

Least Common Multiple (LCM) of 8733 and 8739 is 25439229.

LCM(8733,8739) = 25439229

LCM of 8733 and 8739

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

LCM of:
and

Least Common Multiple of 8733 and 8739

LCM of 8733 and 8739 is 25439229

Least common multiple can be found by multiplying the highest exponent prime factors of 8733 and 8739. First we will calculate the prime factors of 8733 and 8739.

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

Prime Factorization of 8739


3 8739
3 2913
971 971
1

Prime factors of 8739 are 3,971. Prime factorization of 8739 in exponential form is:

8739 = 32×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 8733 and 8739.

LCM(8733,8739) = 32×411×711×9711
LCM(8733,8739) = 25439229

Factors of 8733

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

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

Factors of 8739

List of positive integer factors of 8739 that divides 8739 without a remainder.

1, 3, 9, 971, 2913, 8739

Least Common Multiple of 8733 and 8739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8733 and 8739, than apply into the LCM equation.

GCF(8733,8739) = 3
LCM(8733,8739) = ( 8733 × 8739) / 3
LCM(8733,8739) = 76317687 / 3
LCM(8733,8739) = 25439229

Properties of LCM 8733 and 8739

(i) The LCM of 8739 and 8733 is associative

LCM of 8733 and 8739 = LCM of 8739 and 8733

Related Least Common Multiples of 8733

Related Least Common Multiples of 8739

Frequently Asked Questions on LCM of 8733 and 8739

1. What is the LCM of 8733 and 8739?

Answer: LCM of 8733 and 8739 is 25439229.

2. 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.

3. What are the Factors of 8739?

Answer: Factors of 8739 are 1, 3, 9, 971, 2913, 8739. There are 6 integers that are factors of 8739. The greatest factor of 8739 is 8739.

4. How to Find the LCM of 8733 and 8739?

Answer:

Least Common Multiple of 8733 and 8739 = 25439229

Step 1: Find the prime factorization of 8733

8733 = 3 x 41 x 71

Step 2: Find the prime factorization of 8739

8739 = 3 x 3 x 971

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

LCM = 25439229 = 3 x 3 x 41 x 71 x 971

Step 4: Therefore, the least common multiple of 8733 and 8739 is 25439229.