Least Common Multiple of 8780 and 8787

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 8787 the smallest integer that is 77149860 that is divisible by both numbers.

Least Common Multiple (LCM) of 8780 and 8787 is 77149860.

LCM(8780,8787) = 77149860

LCM of 8780 and 8787

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

LCM of:
and

Least Common Multiple of 8780 and 8787

LCM of 8780 and 8787 is 77149860

Least common multiple can be found by multiplying the highest exponent prime factors of 8780 and 8787. First we will calculate the prime factors of 8780 and 8787.

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 8787


3 8787
29 2929
101 101
1

Prime factors of 8787 are 3, 29,101. Prime factorization of 8787 in exponential form is:

8787 = 31×291×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8780 and 8787.

LCM(8780,8787) = 22×31×51×291×1011×4391
LCM(8780,8787) = 77149860

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 8787

List of positive integer factors of 8787 that divides 8787 without a remainder.

1, 3, 29, 87, 101, 303, 2929, 8787

Least Common Multiple of 8780 and 8787 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 8787, than apply into the LCM equation.

GCF(8780,8787) = 1
LCM(8780,8787) = ( 8780 × 8787) / 1
LCM(8780,8787) = 77149860 / 1
LCM(8780,8787) = 77149860

Properties of LCM 8780 and 8787

(i) The LCM of 8787 and 8780 is associative

LCM of 8780 and 8787 = LCM of 8787 and 8780

Related Least Common Multiples of 8780

Related Least Common Multiples of 8787

Frequently Asked Questions on LCM of 8780 and 8787

1. What is the LCM of 8780 and 8787?

Answer: LCM of 8780 and 8787 is 77149860.

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 8787?

Answer: Factors of 8787 are 1, 3, 29, 87, 101, 303, 2929, 8787. There are 8 integers that are factors of 8787. The greatest factor of 8787 is 8787.

4. How to Find the LCM of 8780 and 8787?

Answer:

Least Common Multiple of 8780 and 8787 = 77149860

Step 1: Find the prime factorization of 8780

8780 = 2 x 2 x 5 x 439

Step 2: Find the prime factorization of 8787

8787 = 3 x 29 x 101

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

LCM = 77149860 = 2 x 2 x 3 x 5 x 29 x 101 x 439

Step 4: Therefore, the least common multiple of 8780 and 8787 is 77149860.