Least Common Multiple of 8760 and 8765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8760 and 8765 the smallest integer that is 15356280 that is divisible by both numbers.

Least Common Multiple (LCM) of 8760 and 8765 is 15356280.

LCM(8760,8765) = 15356280

LCM of 8760 and 8765

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

LCM of:
and

Least Common Multiple of 8760 and 8765

LCM of 8760 and 8765 is 15356280

Least common multiple can be found by multiplying the highest exponent prime factors of 8760 and 8765. First we will calculate the prime factors of 8760 and 8765.

Prime Factorization of 8760


2 8760
2 4380
2 2190
3 1095
5 365
73 73
1

Prime factors of 8760 are 2, 3, 5,73. Prime factorization of 8760 in exponential form is:

8760 = 23×31×51×731

Prime Factorization of 8765


5 8765
1753 1753
1

Prime factors of 8765 are 5,1753. Prime factorization of 8765 in exponential form is:

8765 = 51×17531

Now multiplying the highest exponent prime factors to calculate the LCM of 8760 and 8765.

LCM(8760,8765) = 23×31×51×731×17531
LCM(8760,8765) = 15356280

Factors of 8760

List of positive integer factors of 8760 that divides 8760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760

Factors of 8765

List of positive integer factors of 8765 that divides 8765 without a remainder.

1, 5, 1753, 8765

Least Common Multiple of 8760 and 8765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8760 and 8765, than apply into the LCM equation.

GCF(8760,8765) = 5
LCM(8760,8765) = ( 8760 × 8765) / 5
LCM(8760,8765) = 76781400 / 5
LCM(8760,8765) = 15356280

Properties of LCM 8760 and 8765

(i) The LCM of 8765 and 8760 is associative

LCM of 8760 and 8765 = LCM of 8765 and 8760

Related Least Common Multiples of 8760

Related Least Common Multiples of 8765

Frequently Asked Questions on LCM of 8760 and 8765

1. What is the LCM of 8760 and 8765?

Answer: LCM of 8760 and 8765 is 15356280.

2. What are the Factors of 8760?

Answer: Factors of 8760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760. There are 32 integers that are factors of 8760. The greatest factor of 8760 is 8760.

3. What are the Factors of 8765?

Answer: Factors of 8765 are 1, 5, 1753, 8765. There are 4 integers that are factors of 8765. The greatest factor of 8765 is 8765.

4. How to Find the LCM of 8760 and 8765?

Answer:

Least Common Multiple of 8760 and 8765 = 15356280

Step 1: Find the prime factorization of 8760

8760 = 2 x 2 x 2 x 3 x 5 x 73

Step 2: Find the prime factorization of 8765

8765 = 5 x 1753

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

LCM = 15356280 = 2 x 2 x 2 x 3 x 5 x 73 x 1753

Step 4: Therefore, the least common multiple of 8760 and 8765 is 15356280.