Least Common Multiple of 8735 and 8741

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 8741 the smallest integer that is 76352635 that is divisible by both numbers.

Least Common Multiple (LCM) of 8735 and 8741 is 76352635.

LCM(8735,8741) = 76352635

LCM of 8735 and 8741

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

LCM of:
and

Least Common Multiple of 8735 and 8741

LCM of 8735 and 8741 is 76352635

Least common multiple can be found by multiplying the highest exponent prime factors of 8735 and 8741. First we will calculate the prime factors of 8735 and 8741.

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 8741


8741 8741
1

Prime factors of 8741 are 8741. Prime factorization of 8741 in exponential form is:

8741 = 87411

Now multiplying the highest exponent prime factors to calculate the LCM of 8735 and 8741.

LCM(8735,8741) = 51×17471×87411
LCM(8735,8741) = 76352635

Factors of 8735

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

1, 5, 1747, 8735

Factors of 8741

List of positive integer factors of 8741 that divides 8741 without a remainder.

1, 8741

Least Common Multiple of 8735 and 8741 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 8741, than apply into the LCM equation.

GCF(8735,8741) = 1
LCM(8735,8741) = ( 8735 × 8741) / 1
LCM(8735,8741) = 76352635 / 1
LCM(8735,8741) = 76352635

Properties of LCM 8735 and 8741

(i) The LCM of 8741 and 8735 is associative

LCM of 8735 and 8741 = LCM of 8741 and 8735

Related Least Common Multiples of 8735

Related Least Common Multiples of 8741

Frequently Asked Questions on LCM of 8735 and 8741

1. What is the LCM of 8735 and 8741?

Answer: LCM of 8735 and 8741 is 76352635.

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 8741?

Answer: Factors of 8741 are 1, 8741. There are 2 integers that are factors of 8741. The greatest factor of 8741 is 8741.

4. How to Find the LCM of 8735 and 8741?

Answer:

Least Common Multiple of 8735 and 8741 = 76352635

Step 1: Find the prime factorization of 8735

8735 = 5 x 1747

Step 2: Find the prime factorization of 8741

8741 = 8741

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

LCM = 76352635 = 5 x 1747 x 8741

Step 4: Therefore, the least common multiple of 8735 and 8741 is 76352635.