Least Common Multiple of 8737 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 8737 and 8741 the smallest integer that is 76370117 that is divisible by both numbers.

Least Common Multiple (LCM) of 8737 and 8741 is 76370117.

LCM(8737,8741) = 76370117

LCM of 8737 and 8741

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

LCM of:
and

Least Common Multiple of 8737 and 8741

LCM of 8737 and 8741 is 76370117

Least common multiple can be found by multiplying the highest exponent prime factors of 8737 and 8741. First we will calculate the prime factors of 8737 and 8741.

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 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 8737 and 8741.

LCM(8737,8741) = 87371×87411
LCM(8737,8741) = 76370117

Factors of 8737

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

1, 8737

Factors of 8741

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

1, 8741

Least Common Multiple of 8737 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 8737 and 8741, than apply into the LCM equation.

GCF(8737,8741) = 1
LCM(8737,8741) = ( 8737 × 8741) / 1
LCM(8737,8741) = 76370117 / 1
LCM(8737,8741) = 76370117

Properties of LCM 8737 and 8741

(i) The LCM of 8741 and 8737 is associative

LCM of 8737 and 8741 = LCM of 8741 and 8737

Related Least Common Multiples of 8737

Related Least Common Multiples of 8741

Frequently Asked Questions on LCM of 8737 and 8741

1. What is the LCM of 8737 and 8741?

Answer: LCM of 8737 and 8741 is 76370117.

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 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 8737 and 8741?

Answer:

Least Common Multiple of 8737 and 8741 = 76370117

Step 1: Find the prime factorization of 8737

8737 = 8737

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 = 76370117 = 8737 x 8741

Step 4: Therefore, the least common multiple of 8737 and 8741 is 76370117.