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 8788 the smallest integer that is 19289660 that is divisible by both numbers.
Least Common Multiple (LCM) of 8780 and 8788 is 19289660.
LCM(8780,8788) = 19289660
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8780 and 8788. First we will calculate the prime factors of 8780 and 8788.
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 8788
2 | 8788 |
2 | 4394 |
13 | 2197 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 8788 are 2,13. Prime factorization of 8788 in exponential form is:
8788 = 22×133
Now multiplying the highest exponent prime factors to calculate the LCM of 8780 and 8788.
LCM(8780,8788) = 22×51×133×4391
LCM(8780,8788) = 19289660
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 8788
List of positive integer factors of 8788 that divides 8788 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8780 and 8788, than apply into the LCM equation.
GCF(8780,8788) = 4
LCM(8780,8788) = ( 8780 × 8788) / 4
LCM(8780,8788) = 77158640 / 4
LCM(8780,8788) = 19289660
(i) The LCM of 8788 and 8780 is associative
LCM of 8780 and 8788 = LCM of 8788 and 8780
1. What is the LCM of 8780 and 8788?
Answer: LCM of 8780 and 8788 is 19289660.
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 8788?
Answer: Factors of 8788 are 1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788. There are 12 integers that are factors of 8788. The greatest factor of 8788 is 8788.
4. How to Find the LCM of 8780 and 8788?
Answer:
Least Common Multiple of 8780 and 8788 = 19289660
Step 1: Find the prime factorization of 8780
8780 = 2 x 2 x 5 x 439
Step 2: Find the prime factorization of 8788
8788 = 2 x 2 x 13 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19289660 = 2 x 2 x 5 x 13 x 13 x 13 x 439
Step 4: Therefore, the least common multiple of 8780 and 8788 is 19289660.