Least Common Multiple of 8760 and 8766

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 8766 the smallest integer that is 12798360 that is divisible by both numbers.

Least Common Multiple (LCM) of 8760 and 8766 is 12798360.

LCM(8760,8766) = 12798360

LCM of 8760 and 8766

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

LCM of:
and

Least Common Multiple of 8760 and 8766

LCM of 8760 and 8766 is 12798360

Least common multiple can be found by multiplying the highest exponent prime factors of 8760 and 8766. First we will calculate the prime factors of 8760 and 8766.

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 8766


2 8766
3 4383
3 1461
487 487
1

Prime factors of 8766 are 2, 3,487. Prime factorization of 8766 in exponential form is:

8766 = 21×32×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 8760 and 8766.

LCM(8760,8766) = 23×32×51×731×4871
LCM(8760,8766) = 12798360

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 8766

List of positive integer factors of 8766 that divides 8766 without a remainder.

1, 2, 3, 6, 9, 18, 487, 974, 1461, 2922, 4383, 8766

Least Common Multiple of 8760 and 8766 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 8766, than apply into the LCM equation.

GCF(8760,8766) = 6
LCM(8760,8766) = ( 8760 × 8766) / 6
LCM(8760,8766) = 76790160 / 6
LCM(8760,8766) = 12798360

Properties of LCM 8760 and 8766

(i) The LCM of 8766 and 8760 is associative

LCM of 8760 and 8766 = LCM of 8766 and 8760

Related Least Common Multiples of 8760

Related Least Common Multiples of 8766

Frequently Asked Questions on LCM of 8760 and 8766

1. What is the LCM of 8760 and 8766?

Answer: LCM of 8760 and 8766 is 12798360.

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 8766?

Answer: Factors of 8766 are 1, 2, 3, 6, 9, 18, 487, 974, 1461, 2922, 4383, 8766. There are 12 integers that are factors of 8766. The greatest factor of 8766 is 8766.

4. How to Find the LCM of 8760 and 8766?

Answer:

Least Common Multiple of 8760 and 8766 = 12798360

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 8766

8766 = 2 x 3 x 3 x 487

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

LCM = 12798360 = 2 x 2 x 2 x 3 x 3 x 5 x 73 x 487

Step 4: Therefore, the least common multiple of 8760 and 8766 is 12798360.