Least Common Multiple of 8649 and 8654
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8649 and 8654 the smallest integer that is 74848446 that is divisible by both numbers.
Least Common Multiple (LCM) of 8649 and 8654 is 74848446.
LCM(8649,8654) = 74848446
LCM of 8649 and 8654
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8649 and 8654 by Prime method
- Least Common Multiple of 8649 and 8654 with GCF Formula
LCM of 8649 and 8654 is 74848446
Least common multiple can be found by multiplying the highest exponent prime factors of 8649 and 8654. First we will calculate the prime factors of 8649 and 8654.
Prime Factorization of 8649
| 3 | 8649 |
| 3 | 2883 |
| 31 | 961 |
| 31 | 31 |
| 1 |
Prime factors of 8649 are 3,31. Prime factorization of 8649 in exponential form is:
8649 = 32×312
Prime Factorization of 8654
| 2 | 8654 |
| 4327 | 4327 |
| 1 |
Prime factors of 8654 are 2,4327. Prime factorization of 8654 in exponential form is:
8654 = 21×43271
Now multiplying the highest exponent prime factors to calculate the LCM of 8649 and 8654.
LCM(8649,8654) = 21×32×312×43271
LCM(8649,8654) = 74848446
Factors of 8649
List of positive integer factors of 8649 that divides 8649 without a remainder.
1, 3, 9, 31, 93, 279, 961, 2883, 8649
Factors of 8654
List of positive integer factors of 8654 that divides 8654 without a remainder.
1, 2, 4327, 8654
Least Common Multiple of 8649 and 8654 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8649 and 8654, than apply into the LCM equation.
GCF(8649,8654) = 1
LCM(8649,8654) = ( 8649 × 8654) / 1
LCM(8649,8654) = 74848446 / 1
LCM(8649,8654) = 74848446
Properties of LCM 8649 and 8654
(i) The LCM of 8654 and 8649 is associative
LCM of 8649 and 8654 = LCM of 8654 and 8649
Related Least Common Multiples of 8649
Related Least Common Multiples of 8654
Frequently Asked Questions on LCM of 8649 and 8654
1. What is the LCM of 8649 and 8654?
Answer: LCM of 8649 and 8654 is 74848446.
2. What are the Factors of 8649?
Answer: Factors of 8649 are 1, 3, 9, 31, 93, 279, 961, 2883, 8649. There are 9 integers that are factors of 8649. The greatest factor of 8649 is 8649.
3. What are the Factors of 8654?
Answer: Factors of 8654 are 1, 2, 4327, 8654. There are 4 integers that are factors of 8654. The greatest factor of 8654 is 8654.
4. How to Find the LCM of 8649 and 8654?
Answer:
Least Common Multiple of 8649 and 8654 = 74848446
Step 1: Find the prime factorization of 8649
8649 = 3 x 3 x 31 x 31
Step 2: Find the prime factorization of 8654
8654 = 2 x 4327
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74848446 = 2 x 3 x 3 x 31 x 31 x 4327
Step 4: Therefore, the least common multiple of 8649 and 8654 is 74848446.