Least Common Multiple of 8770 and 8777
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8770 and 8777 the smallest integer that is 76974290 that is divisible by both numbers.
Least Common Multiple (LCM) of 8770 and 8777 is 76974290.
LCM(8770,8777) = 76974290
LCM of 8770 and 8777
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8770 and 8777 by Prime method
- Least Common Multiple of 8770 and 8777 with GCF Formula
LCM of 8770 and 8777 is 76974290
Least common multiple can be found by multiplying the highest exponent prime factors of 8770 and 8777. First we will calculate the prime factors of 8770 and 8777.
Prime Factorization of 8770
| 2 | 8770 |
| 5 | 4385 |
| 877 | 877 |
| 1 |
Prime factors of 8770 are 2, 5,877. Prime factorization of 8770 in exponential form is:
8770 = 21×51×8771
Prime Factorization of 8777
| 67 | 8777 |
| 131 | 131 |
| 1 |
Prime factors of 8777 are 67,131. Prime factorization of 8777 in exponential form is:
8777 = 671×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 8770 and 8777.
LCM(8770,8777) = 21×51×671×1311×8771
LCM(8770,8777) = 76974290
Factors of 8770
List of positive integer factors of 8770 that divides 8770 without a remainder.
1, 2, 5, 10, 877, 1754, 4385, 8770
Factors of 8777
List of positive integer factors of 8777 that divides 8777 without a remainder.
1, 67, 131, 8777
Least Common Multiple of 8770 and 8777 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8770 and 8777, than apply into the LCM equation.
GCF(8770,8777) = 1
LCM(8770,8777) = ( 8770 × 8777) / 1
LCM(8770,8777) = 76974290 / 1
LCM(8770,8777) = 76974290
Properties of LCM 8770 and 8777
(i) The LCM of 8777 and 8770 is associative
LCM of 8770 and 8777 = LCM of 8777 and 8770
Related Least Common Multiples of 8770
Related Least Common Multiples of 8777
Frequently Asked Questions on LCM of 8770 and 8777
1. What is the LCM of 8770 and 8777?
Answer: LCM of 8770 and 8777 is 76974290.
2. What are the Factors of 8770?
Answer: Factors of 8770 are 1, 2, 5, 10, 877, 1754, 4385, 8770. There are 8 integers that are factors of 8770. The greatest factor of 8770 is 8770.
3. What are the Factors of 8777?
Answer: Factors of 8777 are 1, 67, 131, 8777. There are 4 integers that are factors of 8777. The greatest factor of 8777 is 8777.
4. How to Find the LCM of 8770 and 8777?
Answer:
Least Common Multiple of 8770 and 8777 = 76974290
Step 1: Find the prime factorization of 8770
8770 = 2 x 5 x 877
Step 2: Find the prime factorization of 8777
8777 = 67 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76974290 = 2 x 5 x 67 x 131 x 877
Step 4: Therefore, the least common multiple of 8770 and 8777 is 76974290.