Least Common Multiple of 8745 and 8749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8745 and 8749 the smallest integer that is 76510005 that is divisible by both numbers.

Least Common Multiple (LCM) of 8745 and 8749 is 76510005.

LCM(8745,8749) = 76510005

LCM of 8745 and 8749

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

LCM of:
and

Least Common Multiple of 8745 and 8749

LCM of 8745 and 8749 is 76510005

Least common multiple can be found by multiplying the highest exponent prime factors of 8745 and 8749. First we will calculate the prime factors of 8745 and 8749.

Prime Factorization of 8745


3 8745
5 2915
11 583
53 53
1

Prime factors of 8745 are 3, 5, 11,53. Prime factorization of 8745 in exponential form is:

8745 = 31×51×111×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8745 and 8749.

LCM(8745,8749) = 31×51×111×131×531×6731
LCM(8745,8749) = 76510005

Factors of 8745

List of positive integer factors of 8745 that divides 8745 without a remainder.

1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745

Factors of 8749

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

1, 13, 673, 8749

Least Common Multiple of 8745 and 8749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8745 and 8749, than apply into the LCM equation.

GCF(8745,8749) = 1
LCM(8745,8749) = ( 8745 × 8749) / 1
LCM(8745,8749) = 76510005 / 1
LCM(8745,8749) = 76510005

Properties of LCM 8745 and 8749

(i) The LCM of 8749 and 8745 is associative

LCM of 8745 and 8749 = LCM of 8749 and 8745

Related Least Common Multiples of 8745

Related Least Common Multiples of 8749

Frequently Asked Questions on LCM of 8745 and 8749

1. What is the LCM of 8745 and 8749?

Answer: LCM of 8745 and 8749 is 76510005.

2. What are the Factors of 8745?

Answer: Factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745. There are 16 integers that are factors of 8745. The greatest factor of 8745 is 8745.

3. 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.

4. How to Find the LCM of 8745 and 8749?

Answer:

Least Common Multiple of 8745 and 8749 = 76510005

Step 1: Find the prime factorization of 8745

8745 = 3 x 5 x 11 x 53

Step 2: Find the prime factorization of 8749

8749 = 13 x 673

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

LCM = 76510005 = 3 x 5 x 11 x 13 x 53 x 673

Step 4: Therefore, the least common multiple of 8745 and 8749 is 76510005.