Least Common Multiple of 8735 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 8735 and 8739 the smallest integer that is 76335165 that is divisible by both numbers.

Least Common Multiple (LCM) of 8735 and 8739 is 76335165.

LCM(8735,8739) = 76335165

LCM of 8735 and 8739

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

LCM of:
and

Least Common Multiple of 8735 and 8739

LCM of 8735 and 8739 is 76335165

Least common multiple can be found by multiplying the highest exponent prime factors of 8735 and 8739. First we will calculate the prime factors of 8735 and 8739.

Prime Factorization of 8735


5 8735
1747 1747
1

Prime factors of 8735 are 5,1747. Prime factorization of 8735 in exponential form is:

8735 = 51×17471

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 8735 and 8739.

LCM(8735,8739) = 32×51×9711×17471
LCM(8735,8739) = 76335165

Factors of 8735

List of positive integer factors of 8735 that divides 8735 without a remainder.

1, 5, 1747, 8735

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 8735 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 8735 and 8739, than apply into the LCM equation.

GCF(8735,8739) = 1
LCM(8735,8739) = ( 8735 × 8739) / 1
LCM(8735,8739) = 76335165 / 1
LCM(8735,8739) = 76335165

Properties of LCM 8735 and 8739

(i) The LCM of 8739 and 8735 is associative

LCM of 8735 and 8739 = LCM of 8739 and 8735

Related Least Common Multiples of 8735

Related Least Common Multiples of 8739

Frequently Asked Questions on LCM of 8735 and 8739

1. What is the LCM of 8735 and 8739?

Answer: LCM of 8735 and 8739 is 76335165.

2. What are the Factors of 8735?

Answer: Factors of 8735 are 1, 5, 1747, 8735. There are 4 integers that are factors of 8735. The greatest factor of 8735 is 8735.

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 8735 and 8739?

Answer:

Least Common Multiple of 8735 and 8739 = 76335165

Step 1: Find the prime factorization of 8735

8735 = 5 x 1747

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 = 76335165 = 3 x 3 x 5 x 971 x 1747

Step 4: Therefore, the least common multiple of 8735 and 8739 is 76335165.