Least Common Multiple of 8739 and 8743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8739 and 8743 the smallest integer that is 76405077 that is divisible by both numbers.

Least Common Multiple (LCM) of 8739 and 8743 is 76405077.

LCM(8739,8743) = 76405077

LCM of 8739 and 8743

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

LCM of:
and

Least Common Multiple of 8739 and 8743

LCM of 8739 and 8743 is 76405077

Least common multiple can be found by multiplying the highest exponent prime factors of 8739 and 8743. First we will calculate the prime factors of 8739 and 8743.

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

Prime Factorization of 8743


7 8743
1249 1249
1

Prime factors of 8743 are 7,1249. Prime factorization of 8743 in exponential form is:

8743 = 71×12491

Now multiplying the highest exponent prime factors to calculate the LCM of 8739 and 8743.

LCM(8739,8743) = 32×71×9711×12491
LCM(8739,8743) = 76405077

Factors of 8739

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

1, 3, 9, 971, 2913, 8739

Factors of 8743

List of positive integer factors of 8743 that divides 8743 without a remainder.

1, 7, 1249, 8743

Least Common Multiple of 8739 and 8743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8739 and 8743, than apply into the LCM equation.

GCF(8739,8743) = 1
LCM(8739,8743) = ( 8739 × 8743) / 1
LCM(8739,8743) = 76405077 / 1
LCM(8739,8743) = 76405077

Properties of LCM 8739 and 8743

(i) The LCM of 8743 and 8739 is associative

LCM of 8739 and 8743 = LCM of 8743 and 8739

Related Least Common Multiples of 8739

Related Least Common Multiples of 8743

Frequently Asked Questions on LCM of 8739 and 8743

1. What is the LCM of 8739 and 8743?

Answer: LCM of 8739 and 8743 is 76405077.

2. 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.

3. What are the Factors of 8743?

Answer: Factors of 8743 are 1, 7, 1249, 8743. There are 4 integers that are factors of 8743. The greatest factor of 8743 is 8743.

4. How to Find the LCM of 8739 and 8743?

Answer:

Least Common Multiple of 8739 and 8743 = 76405077

Step 1: Find the prime factorization of 8739

8739 = 3 x 3 x 971

Step 2: Find the prime factorization of 8743

8743 = 7 x 1249

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

LCM = 76405077 = 3 x 3 x 7 x 971 x 1249

Step 4: Therefore, the least common multiple of 8739 and 8743 is 76405077.