Least Common Multiple of 8760 and 8767

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 8767 the smallest integer that is 76798920 that is divisible by both numbers.

Least Common Multiple (LCM) of 8760 and 8767 is 76798920.

LCM(8760,8767) = 76798920

LCM of 8760 and 8767

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

LCM of:
and

Least Common Multiple of 8760 and 8767

LCM of 8760 and 8767 is 76798920

Least common multiple can be found by multiplying the highest exponent prime factors of 8760 and 8767. First we will calculate the prime factors of 8760 and 8767.

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 8767


11 8767
797 797
1

Prime factors of 8767 are 11,797. Prime factorization of 8767 in exponential form is:

8767 = 111×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 8760 and 8767.

LCM(8760,8767) = 23×31×51×111×731×7971
LCM(8760,8767) = 76798920

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 8767

List of positive integer factors of 8767 that divides 8767 without a remainder.

1, 11, 797, 8767

Least Common Multiple of 8760 and 8767 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 8767, than apply into the LCM equation.

GCF(8760,8767) = 1
LCM(8760,8767) = ( 8760 × 8767) / 1
LCM(8760,8767) = 76798920 / 1
LCM(8760,8767) = 76798920

Properties of LCM 8760 and 8767

(i) The LCM of 8767 and 8760 is associative

LCM of 8760 and 8767 = LCM of 8767 and 8760

Related Least Common Multiples of 8760

Related Least Common Multiples of 8767

Frequently Asked Questions on LCM of 8760 and 8767

1. What is the LCM of 8760 and 8767?

Answer: LCM of 8760 and 8767 is 76798920.

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 8767?

Answer: Factors of 8767 are 1, 11, 797, 8767. There are 4 integers that are factors of 8767. The greatest factor of 8767 is 8767.

4. How to Find the LCM of 8760 and 8767?

Answer:

Least Common Multiple of 8760 and 8767 = 76798920

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 8767

8767 = 11 x 797

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

LCM = 76798920 = 2 x 2 x 2 x 3 x 5 x 11 x 73 x 797

Step 4: Therefore, the least common multiple of 8760 and 8767 is 76798920.