Least Common Multiple of 8759 and 8760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8759 and 8760 the smallest integer that is 76728840 that is divisible by both numbers.

Least Common Multiple (LCM) of 8759 and 8760 is 76728840.

LCM(8759,8760) = 76728840

LCM of 8759 and 8760

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

LCM of:
and

Least Common Multiple of 8759 and 8760

LCM of 8759 and 8760 is 76728840

Least common multiple can be found by multiplying the highest exponent prime factors of 8759 and 8760. First we will calculate the prime factors of 8759 and 8760.

Prime Factorization of 8759


19 8759
461 461
1

Prime factors of 8759 are 19,461. Prime factorization of 8759 in exponential form is:

8759 = 191×4611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8759 and 8760.

LCM(8759,8760) = 23×31×51×191×731×4611
LCM(8759,8760) = 76728840

Factors of 8759

List of positive integer factors of 8759 that divides 8759 without a remainder.

1, 19, 461, 8759

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

Least Common Multiple of 8759 and 8760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8759 and 8760, than apply into the LCM equation.

GCF(8759,8760) = 1
LCM(8759,8760) = ( 8759 × 8760) / 1
LCM(8759,8760) = 76728840 / 1
LCM(8759,8760) = 76728840

Properties of LCM 8759 and 8760

(i) The LCM of 8760 and 8759 is associative

LCM of 8759 and 8760 = LCM of 8760 and 8759

Related Least Common Multiples of 8759

Related Least Common Multiples of 8760

Frequently Asked Questions on LCM of 8759 and 8760

1. What is the LCM of 8759 and 8760?

Answer: LCM of 8759 and 8760 is 76728840.

2. What are the Factors of 8759?

Answer: Factors of 8759 are 1, 19, 461, 8759. There are 4 integers that are factors of 8759. The greatest factor of 8759 is 8759.

3. 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.

4. How to Find the LCM of 8759 and 8760?

Answer:

Least Common Multiple of 8759 and 8760 = 76728840

Step 1: Find the prime factorization of 8759

8759 = 19 x 461

Step 2: Find the prime factorization of 8760

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

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

LCM = 76728840 = 2 x 2 x 2 x 3 x 5 x 19 x 73 x 461

Step 4: Therefore, the least common multiple of 8759 and 8760 is 76728840.