Least Common Multiple of 8780 and 8782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8780 and 8782 the smallest integer that is 38552980 that is divisible by both numbers.

Least Common Multiple (LCM) of 8780 and 8782 is 38552980.

LCM(8780,8782) = 38552980

LCM of 8780 and 8782

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

LCM of:
and

Least Common Multiple of 8780 and 8782

LCM of 8780 and 8782 is 38552980

Least common multiple can be found by multiplying the highest exponent prime factors of 8780 and 8782. First we will calculate the prime factors of 8780 and 8782.

Prime Factorization of 8780


2 8780
2 4390
5 2195
439 439
1

Prime factors of 8780 are 2, 5,439. Prime factorization of 8780 in exponential form is:

8780 = 22×51×4391

Prime Factorization of 8782


2 8782
4391 4391
1

Prime factors of 8782 are 2,4391. Prime factorization of 8782 in exponential form is:

8782 = 21×43911

Now multiplying the highest exponent prime factors to calculate the LCM of 8780 and 8782.

LCM(8780,8782) = 22×51×4391×43911
LCM(8780,8782) = 38552980

Factors of 8780

List of positive integer factors of 8780 that divides 8780 without a remainder.

1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780

Factors of 8782

List of positive integer factors of 8782 that divides 8782 without a remainder.

1, 2, 4391, 8782

Least Common Multiple of 8780 and 8782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8780 and 8782, than apply into the LCM equation.

GCF(8780,8782) = 2
LCM(8780,8782) = ( 8780 × 8782) / 2
LCM(8780,8782) = 77105960 / 2
LCM(8780,8782) = 38552980

Properties of LCM 8780 and 8782

(i) The LCM of 8782 and 8780 is associative

LCM of 8780 and 8782 = LCM of 8782 and 8780

Related Least Common Multiples of 8780

Related Least Common Multiples of 8782

Frequently Asked Questions on LCM of 8780 and 8782

1. What is the LCM of 8780 and 8782?

Answer: LCM of 8780 and 8782 is 38552980.

2. What are the Factors of 8780?

Answer: Factors of 8780 are 1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780. There are 12 integers that are factors of 8780. The greatest factor of 8780 is 8780.

3. What are the Factors of 8782?

Answer: Factors of 8782 are 1, 2, 4391, 8782. There are 4 integers that are factors of 8782. The greatest factor of 8782 is 8782.

4. How to Find the LCM of 8780 and 8782?

Answer:

Least Common Multiple of 8780 and 8782 = 38552980

Step 1: Find the prime factorization of 8780

8780 = 2 x 2 x 5 x 439

Step 2: Find the prime factorization of 8782

8782 = 2 x 4391

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

LCM = 38552980 = 2 x 2 x 5 x 439 x 4391

Step 4: Therefore, the least common multiple of 8780 and 8782 is 38552980.