Least Common Multiple of 8970 and 8977
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8970 and 8977 the smallest integer that is 80523690 that is divisible by both numbers.
Least Common Multiple (LCM) of 8970 and 8977 is 80523690.
LCM(8970,8977) = 80523690
LCM of 8970 and 8977
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8970 and 8977 by Prime method
- Least Common Multiple of 8970 and 8977 with GCF Formula
LCM of 8970 and 8977 is 80523690
Least common multiple can be found by multiplying the highest exponent prime factors of 8970 and 8977. First we will calculate the prime factors of 8970 and 8977.
Prime Factorization of 8970
| 2 | 8970 |
| 3 | 4485 |
| 5 | 1495 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 8970 are 2, 3, 5, 13,23. Prime factorization of 8970 in exponential form is:
8970 = 21×31×51×131×231
Prime Factorization of 8977
| 47 | 8977 |
| 191 | 191 |
| 1 |
Prime factors of 8977 are 47,191. Prime factorization of 8977 in exponential form is:
8977 = 471×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 8970 and 8977.
LCM(8970,8977) = 21×31×51×131×231×471×1911
LCM(8970,8977) = 80523690
Factors of 8970
List of positive integer factors of 8970 that divides 8970 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970
Factors of 8977
List of positive integer factors of 8977 that divides 8977 without a remainder.
1, 47, 191, 8977
Least Common Multiple of 8970 and 8977 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8970 and 8977, than apply into the LCM equation.
GCF(8970,8977) = 1
LCM(8970,8977) = ( 8970 × 8977) / 1
LCM(8970,8977) = 80523690 / 1
LCM(8970,8977) = 80523690
Properties of LCM 8970 and 8977
(i) The LCM of 8977 and 8970 is associative
LCM of 8970 and 8977 = LCM of 8977 and 8970
Related Least Common Multiples of 8970
Related Least Common Multiples of 8977
Frequently Asked Questions on LCM of 8970 and 8977
1. What is the LCM of 8970 and 8977?
Answer: LCM of 8970 and 8977 is 80523690.
2. What are the Factors of 8970?
Answer: Factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970. There are 32 integers that are factors of 8970. The greatest factor of 8970 is 8970.
3. What are the Factors of 8977?
Answer: Factors of 8977 are 1, 47, 191, 8977. There are 4 integers that are factors of 8977. The greatest factor of 8977 is 8977.
4. How to Find the LCM of 8970 and 8977?
Answer:
Least Common Multiple of 8970 and 8977 = 80523690
Step 1: Find the prime factorization of 8970
8970 = 2 x 3 x 5 x 13 x 23
Step 2: Find the prime factorization of 8977
8977 = 47 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80523690 = 2 x 3 x 5 x 13 x 23 x 47 x 191
Step 4: Therefore, the least common multiple of 8970 and 8977 is 80523690.