Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5648 and 5651 the smallest integer that is 31916848 that is divisible by both numbers.
Least Common Multiple (LCM) of 5648 and 5651 is 31916848.
LCM(5648,5651) = 31916848
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 5648 and 5651. First we will calculate the prime factors of 5648 and 5651.
Prime Factorization of 5648
2 | 5648 |
2 | 2824 |
2 | 1412 |
2 | 706 |
353 | 353 |
1 |
Prime factors of 5648 are 2,353. Prime factorization of 5648 in exponential form is:
5648 = 24×3531
Prime Factorization of 5651
5651 | 5651 |
1 |
Prime factors of 5651 are 5651. Prime factorization of 5651 in exponential form is:
5651 = 56511
Now multiplying the highest exponent prime factors to calculate the LCM of 5648 and 5651.
LCM(5648,5651) = 24×3531×56511
LCM(5648,5651) = 31916848
Factors of 5648
List of positive integer factors of 5648 that divides 5648 without a remainder.
1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648
Factors of 5651
List of positive integer factors of 5651 that divides 5651 without a remainder.
1, 5651
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5648 and 5651, than apply into the LCM equation.
GCF(5648,5651) = 1
LCM(5648,5651) = ( 5648 × 5651) / 1
LCM(5648,5651) = 31916848 / 1
LCM(5648,5651) = 31916848
(i) The LCM of 5651 and 5648 is associative
LCM of 5648 and 5651 = LCM of 5651 and 5648
1. What is the LCM of 5648 and 5651?
Answer: LCM of 5648 and 5651 is 31916848.
2. What are the Factors of 5648?
Answer: Factors of 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648. There are 10 integers that are factors of 5648. The greatest factor of 5648 is 5648.
3. What are the Factors of 5651?
Answer: Factors of 5651 are 1, 5651. There are 2 integers that are factors of 5651. The greatest factor of 5651 is 5651.
4. How to Find the LCM of 5648 and 5651?
Answer:
Least Common Multiple of 5648 and 5651 = 31916848
Step 1: Find the prime factorization of 5648
5648 = 2 x 2 x 2 x 2 x 353
Step 2: Find the prime factorization of 5651
5651 = 5651
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31916848 = 2 x 2 x 2 x 2 x 353 x 5651
Step 4: Therefore, the least common multiple of 5648 and 5651 is 31916848.