Least Common Multiple of 8761 and 8768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8761 and 8768 the smallest integer that is 76816448 that is divisible by both numbers.

Least Common Multiple (LCM) of 8761 and 8768 is 76816448.

LCM(8761,8768) = 76816448

LCM of 8761 and 8768

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

LCM of:
and

Least Common Multiple of 8761 and 8768

LCM of 8761 and 8768 is 76816448

Least common multiple can be found by multiplying the highest exponent prime factors of 8761 and 8768. First we will calculate the prime factors of 8761 and 8768.

Prime Factorization of 8761


8761 8761
1

Prime factors of 8761 are 8761. Prime factorization of 8761 in exponential form is:

8761 = 87611

Prime Factorization of 8768


2 8768
2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 8768 are 2,137. Prime factorization of 8768 in exponential form is:

8768 = 26×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8761 and 8768.

LCM(8761,8768) = 26×1371×87611
LCM(8761,8768) = 76816448

Factors of 8761

List of positive integer factors of 8761 that divides 8761 without a remainder.

1, 8761

Factors of 8768

List of positive integer factors of 8768 that divides 8768 without a remainder.

1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768

Least Common Multiple of 8761 and 8768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8761 and 8768, than apply into the LCM equation.

GCF(8761,8768) = 1
LCM(8761,8768) = ( 8761 × 8768) / 1
LCM(8761,8768) = 76816448 / 1
LCM(8761,8768) = 76816448

Properties of LCM 8761 and 8768

(i) The LCM of 8768 and 8761 is associative

LCM of 8761 and 8768 = LCM of 8768 and 8761

Related Least Common Multiples of 8761

Related Least Common Multiples of 8768

Frequently Asked Questions on LCM of 8761 and 8768

1. What is the LCM of 8761 and 8768?

Answer: LCM of 8761 and 8768 is 76816448.

2. What are the Factors of 8761?

Answer: Factors of 8761 are 1, 8761. There are 2 integers that are factors of 8761. The greatest factor of 8761 is 8761.

3. What are the Factors of 8768?

Answer: Factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768. There are 14 integers that are factors of 8768. The greatest factor of 8768 is 8768.

4. How to Find the LCM of 8761 and 8768?

Answer:

Least Common Multiple of 8761 and 8768 = 76816448

Step 1: Find the prime factorization of 8761

8761 = 8761

Step 2: Find the prime factorization of 8768

8768 = 2 x 2 x 2 x 2 x 2 x 2 x 137

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

LCM = 76816448 = 2 x 2 x 2 x 2 x 2 x 2 x 137 x 8761

Step 4: Therefore, the least common multiple of 8761 and 8768 is 76816448.