Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5647 and 5654 the smallest integer that is 31928138 that is divisible by both numbers.
Least Common Multiple (LCM) of 5647 and 5654 is 31928138.
LCM(5647,5654) = 31928138
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 5647 and 5654. First we will calculate the prime factors of 5647 and 5654.
Prime Factorization of 5647
5647 | 5647 |
1 |
Prime factors of 5647 are 5647. Prime factorization of 5647 in exponential form is:
5647 = 56471
Prime Factorization of 5654
2 | 5654 |
11 | 2827 |
257 | 257 |
1 |
Prime factors of 5654 are 2, 11,257. Prime factorization of 5654 in exponential form is:
5654 = 21×111×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 5647 and 5654.
LCM(5647,5654) = 21×111×2571×56471
LCM(5647,5654) = 31928138
Factors of 5647
List of positive integer factors of 5647 that divides 5647 without a remainder.
1, 5647
Factors of 5654
List of positive integer factors of 5654 that divides 5654 without a remainder.
1, 2, 11, 22, 257, 514, 2827, 5654
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5647 and 5654, than apply into the LCM equation.
GCF(5647,5654) = 1
LCM(5647,5654) = ( 5647 × 5654) / 1
LCM(5647,5654) = 31928138 / 1
LCM(5647,5654) = 31928138
(i) The LCM of 5654 and 5647 is associative
LCM of 5647 and 5654 = LCM of 5654 and 5647
1. What is the LCM of 5647 and 5654?
Answer: LCM of 5647 and 5654 is 31928138.
2. What are the Factors of 5647?
Answer: Factors of 5647 are 1, 5647. There are 2 integers that are factors of 5647. The greatest factor of 5647 is 5647.
3. What are the Factors of 5654?
Answer: Factors of 5654 are 1, 2, 11, 22, 257, 514, 2827, 5654. There are 8 integers that are factors of 5654. The greatest factor of 5654 is 5654.
4. How to Find the LCM of 5647 and 5654?
Answer:
Least Common Multiple of 5647 and 5654 = 31928138
Step 1: Find the prime factorization of 5647
5647 = 5647
Step 2: Find the prime factorization of 5654
5654 = 2 x 11 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31928138 = 2 x 11 x 257 x 5647
Step 4: Therefore, the least common multiple of 5647 and 5654 is 31928138.