Least Common Multiple of 8749 and 8757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8749 and 8757 the smallest integer that is 76614993 that is divisible by both numbers.

Least Common Multiple (LCM) of 8749 and 8757 is 76614993.

LCM(8749,8757) = 76614993

LCM of 8749 and 8757

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

LCM of:
and

Least Common Multiple of 8749 and 8757

LCM of 8749 and 8757 is 76614993

Least common multiple can be found by multiplying the highest exponent prime factors of 8749 and 8757. First we will calculate the prime factors of 8749 and 8757.

Prime Factorization of 8749


13 8749
673 673
1

Prime factors of 8749 are 13,673. Prime factorization of 8749 in exponential form is:

8749 = 131×6731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8749 and 8757.

LCM(8749,8757) = 32×71×131×1391×6731
LCM(8749,8757) = 76614993

Factors of 8749

List of positive integer factors of 8749 that divides 8749 without a remainder.

1, 13, 673, 8749

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

Least Common Multiple of 8749 and 8757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8749 and 8757, than apply into the LCM equation.

GCF(8749,8757) = 1
LCM(8749,8757) = ( 8749 × 8757) / 1
LCM(8749,8757) = 76614993 / 1
LCM(8749,8757) = 76614993

Properties of LCM 8749 and 8757

(i) The LCM of 8757 and 8749 is associative

LCM of 8749 and 8757 = LCM of 8757 and 8749

Related Least Common Multiples of 8749

Related Least Common Multiples of 8757

Frequently Asked Questions on LCM of 8749 and 8757

1. What is the LCM of 8749 and 8757?

Answer: LCM of 8749 and 8757 is 76614993.

2. What are the Factors of 8749?

Answer: Factors of 8749 are 1, 13, 673, 8749. There are 4 integers that are factors of 8749. The greatest factor of 8749 is 8749.

3. 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.

4. How to Find the LCM of 8749 and 8757?

Answer:

Least Common Multiple of 8749 and 8757 = 76614993

Step 1: Find the prime factorization of 8749

8749 = 13 x 673

Step 2: Find the prime factorization of 8757

8757 = 3 x 3 x 7 x 139

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

LCM = 76614993 = 3 x 3 x 7 x 13 x 139 x 673

Step 4: Therefore, the least common multiple of 8749 and 8757 is 76614993.