Least Common Multiple of 8760 and 8768

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 8768 the smallest integer that is 9600960 that is divisible by both numbers.

Least Common Multiple (LCM) of 8760 and 8768 is 9600960.

LCM(8760,8768) = 9600960

LCM of 8760 and 8768

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

LCM of:
and

Least Common Multiple of 8760 and 8768

LCM of 8760 and 8768 is 9600960

Least common multiple can be found by multiplying the highest exponent prime factors of 8760 and 8768. First we will calculate the prime factors of 8760 and 8768.

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 8768


2 8768
2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 8768 are 2,137. Prime factorization of 8768 in exponential form is:

8768 = 26×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8760 and 8768.

LCM(8760,8768) = 26×31×51×731×1371
LCM(8760,8768) = 9600960

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 8768

List of positive integer factors of 8768 that divides 8768 without a remainder.

1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768

Least Common Multiple of 8760 and 8768 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 8768, than apply into the LCM equation.

GCF(8760,8768) = 8
LCM(8760,8768) = ( 8760 × 8768) / 8
LCM(8760,8768) = 76807680 / 8
LCM(8760,8768) = 9600960

Properties of LCM 8760 and 8768

(i) The LCM of 8768 and 8760 is associative

LCM of 8760 and 8768 = LCM of 8768 and 8760

Related Least Common Multiples of 8760

Related Least Common Multiples of 8768

Frequently Asked Questions on LCM of 8760 and 8768

1. What is the LCM of 8760 and 8768?

Answer: LCM of 8760 and 8768 is 9600960.

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 8768?

Answer: Factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768. There are 14 integers that are factors of 8768. The greatest factor of 8768 is 8768.

4. How to Find the LCM of 8760 and 8768?

Answer:

Least Common Multiple of 8760 and 8768 = 9600960

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 8768

8768 = 2 x 2 x 2 x 2 x 2 x 2 x 137

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

LCM = 9600960 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 73 x 137

Step 4: Therefore, the least common multiple of 8760 and 8768 is 9600960.