Least Common Multiple of 8757 and 8763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8757 and 8763 the smallest integer that is 25579197 that is divisible by both numbers.

Least Common Multiple (LCM) of 8757 and 8763 is 25579197.

LCM(8757,8763) = 25579197

LCM of 8757 and 8763

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

LCM of:
and

Least Common Multiple of 8757 and 8763

LCM of 8757 and 8763 is 25579197

Least common multiple can be found by multiplying the highest exponent prime factors of 8757 and 8763. First we will calculate the prime factors of 8757 and 8763.

Prime Factorization of 8757


3 8757
3 2919
7 973
139 139
1

Prime factors of 8757 are 3, 7,139. Prime factorization of 8757 in exponential form is:

8757 = 32×71×1391

Prime Factorization of 8763


3 8763
23 2921
127 127
1

Prime factors of 8763 are 3, 23,127. Prime factorization of 8763 in exponential form is:

8763 = 31×231×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 8757 and 8763.

LCM(8757,8763) = 32×71×231×1271×1391
LCM(8757,8763) = 25579197

Factors of 8757

List of positive integer factors of 8757 that divides 8757 without a remainder.

1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757

Factors of 8763

List of positive integer factors of 8763 that divides 8763 without a remainder.

1, 3, 23, 69, 127, 381, 2921, 8763

Least Common Multiple of 8757 and 8763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8757 and 8763, than apply into the LCM equation.

GCF(8757,8763) = 3
LCM(8757,8763) = ( 8757 × 8763) / 3
LCM(8757,8763) = 76737591 / 3
LCM(8757,8763) = 25579197

Properties of LCM 8757 and 8763

(i) The LCM of 8763 and 8757 is associative

LCM of 8757 and 8763 = LCM of 8763 and 8757

Related Least Common Multiples of 8757

Related Least Common Multiples of 8763

Frequently Asked Questions on LCM of 8757 and 8763

1. What is the LCM of 8757 and 8763?

Answer: LCM of 8757 and 8763 is 25579197.

2. What are the Factors of 8757?

Answer: Factors of 8757 are 1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757. There are 12 integers that are factors of 8757. The greatest factor of 8757 is 8757.

3. What are the Factors of 8763?

Answer: Factors of 8763 are 1, 3, 23, 69, 127, 381, 2921, 8763. There are 8 integers that are factors of 8763. The greatest factor of 8763 is 8763.

4. How to Find the LCM of 8757 and 8763?

Answer:

Least Common Multiple of 8757 and 8763 = 25579197

Step 1: Find the prime factorization of 8757

8757 = 3 x 3 x 7 x 139

Step 2: Find the prime factorization of 8763

8763 = 3 x 23 x 127

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

LCM = 25579197 = 3 x 3 x 7 x 23 x 127 x 139

Step 4: Therefore, the least common multiple of 8757 and 8763 is 25579197.