Least Common Multiple of 8760 and 8764

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 8764 the smallest integer that is 19193160 that is divisible by both numbers.

Least Common Multiple (LCM) of 8760 and 8764 is 19193160.

LCM(8760,8764) = 19193160

LCM of 8760 and 8764

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

LCM of:
and

Least Common Multiple of 8760 and 8764

LCM of 8760 and 8764 is 19193160

Least common multiple can be found by multiplying the highest exponent prime factors of 8760 and 8764. First we will calculate the prime factors of 8760 and 8764.

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 8764


2 8764
2 4382
7 2191
313 313
1

Prime factors of 8764 are 2, 7,313. Prime factorization of 8764 in exponential form is:

8764 = 22×71×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 8760 and 8764.

LCM(8760,8764) = 23×31×51×71×731×3131
LCM(8760,8764) = 19193160

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 8764

List of positive integer factors of 8764 that divides 8764 without a remainder.

1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764

Least Common Multiple of 8760 and 8764 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 8764, than apply into the LCM equation.

GCF(8760,8764) = 4
LCM(8760,8764) = ( 8760 × 8764) / 4
LCM(8760,8764) = 76772640 / 4
LCM(8760,8764) = 19193160

Properties of LCM 8760 and 8764

(i) The LCM of 8764 and 8760 is associative

LCM of 8760 and 8764 = LCM of 8764 and 8760

Related Least Common Multiples of 8760

Related Least Common Multiples of 8764

Frequently Asked Questions on LCM of 8760 and 8764

1. What is the LCM of 8760 and 8764?

Answer: LCM of 8760 and 8764 is 19193160.

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 8764?

Answer: Factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764. There are 12 integers that are factors of 8764. The greatest factor of 8764 is 8764.

4. How to Find the LCM of 8760 and 8764?

Answer:

Least Common Multiple of 8760 and 8764 = 19193160

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 8764

8764 = 2 x 2 x 7 x 313

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

LCM = 19193160 = 2 x 2 x 2 x 3 x 5 x 7 x 73 x 313

Step 4: Therefore, the least common multiple of 8760 and 8764 is 19193160.