Least Common Multiple of 8745 and 8752

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 8752 the smallest integer that is 76536240 that is divisible by both numbers.

Least Common Multiple (LCM) of 8745 and 8752 is 76536240.

LCM(8745,8752) = 76536240

LCM of 8745 and 8752

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

LCM of:
and

Least Common Multiple of 8745 and 8752

LCM of 8745 and 8752 is 76536240

Least common multiple can be found by multiplying the highest exponent prime factors of 8745 and 8752. First we will calculate the prime factors of 8745 and 8752.

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 8752


2 8752
2 4376
2 2188
2 1094
547 547
1

Prime factors of 8752 are 2,547. Prime factorization of 8752 in exponential form is:

8752 = 24×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 8745 and 8752.

LCM(8745,8752) = 24×31×51×111×531×5471
LCM(8745,8752) = 76536240

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 8752

List of positive integer factors of 8752 that divides 8752 without a remainder.

1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752

Least Common Multiple of 8745 and 8752 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 8752, than apply into the LCM equation.

GCF(8745,8752) = 1
LCM(8745,8752) = ( 8745 × 8752) / 1
LCM(8745,8752) = 76536240 / 1
LCM(8745,8752) = 76536240

Properties of LCM 8745 and 8752

(i) The LCM of 8752 and 8745 is associative

LCM of 8745 and 8752 = LCM of 8752 and 8745

Related Least Common Multiples of 8745

Related Least Common Multiples of 8752

Frequently Asked Questions on LCM of 8745 and 8752

1. What is the LCM of 8745 and 8752?

Answer: LCM of 8745 and 8752 is 76536240.

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 8752?

Answer: Factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752. There are 10 integers that are factors of 8752. The greatest factor of 8752 is 8752.

4. How to Find the LCM of 8745 and 8752?

Answer:

Least Common Multiple of 8745 and 8752 = 76536240

Step 1: Find the prime factorization of 8745

8745 = 3 x 5 x 11 x 53

Step 2: Find the prime factorization of 8752

8752 = 2 x 2 x 2 x 2 x 547

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

LCM = 76536240 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 53 x 547

Step 4: Therefore, the least common multiple of 8745 and 8752 is 76536240.