Least Common Multiple of 8740 and 8745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8740 and 8745 the smallest integer that is 15286260 that is divisible by both numbers.

Least Common Multiple (LCM) of 8740 and 8745 is 15286260.

LCM(8740,8745) = 15286260

LCM of 8740 and 8745

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

LCM of:
and

Least Common Multiple of 8740 and 8745

LCM of 8740 and 8745 is 15286260

Least common multiple can be found by multiplying the highest exponent prime factors of 8740 and 8745. First we will calculate the prime factors of 8740 and 8745.

Prime Factorization of 8740


2 8740
2 4370
5 2185
19 437
23 23
1

Prime factors of 8740 are 2, 5, 19,23. Prime factorization of 8740 in exponential form is:

8740 = 22×51×191×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8740 and 8745.

LCM(8740,8745) = 22×31×51×111×191×231×531
LCM(8740,8745) = 15286260

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740

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

Least Common Multiple of 8740 and 8745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8740 and 8745, than apply into the LCM equation.

GCF(8740,8745) = 5
LCM(8740,8745) = ( 8740 × 8745) / 5
LCM(8740,8745) = 76431300 / 5
LCM(8740,8745) = 15286260

Properties of LCM 8740 and 8745

(i) The LCM of 8745 and 8740 is associative

LCM of 8740 and 8745 = LCM of 8745 and 8740

Related Least Common Multiples of 8740

Related Least Common Multiples of 8745

Frequently Asked Questions on LCM of 8740 and 8745

1. What is the LCM of 8740 and 8745?

Answer: LCM of 8740 and 8745 is 15286260.

2. What are the Factors of 8740?

Answer: Factors of 8740 are 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740. There are 24 integers that are factors of 8740. The greatest factor of 8740 is 8740.

3. 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.

4. How to Find the LCM of 8740 and 8745?

Answer:

Least Common Multiple of 8740 and 8745 = 15286260

Step 1: Find the prime factorization of 8740

8740 = 2 x 2 x 5 x 19 x 23

Step 2: Find the prime factorization of 8745

8745 = 3 x 5 x 11 x 53

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

LCM = 15286260 = 2 x 2 x 3 x 5 x 11 x 19 x 23 x 53

Step 4: Therefore, the least common multiple of 8740 and 8745 is 15286260.