Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2643 and 2648 the smallest integer that is 6998664 that is divisible by both numbers.
Least Common Multiple (LCM) of 2643 and 2648 is 6998664.
LCM(2643,2648) = 6998664
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 2643 and 2648. First we will calculate the prime factors of 2643 and 2648.
Prime Factorization of 2643
3 | 2643 |
881 | 881 |
1 |
Prime factors of 2643 are 3,881. Prime factorization of 2643 in exponential form is:
2643 = 31×8811
Prime Factorization of 2648
2 | 2648 |
2 | 1324 |
2 | 662 |
331 | 331 |
1 |
Prime factors of 2648 are 2,331. Prime factorization of 2648 in exponential form is:
2648 = 23×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 2643 and 2648.
LCM(2643,2648) = 23×31×3311×8811
LCM(2643,2648) = 6998664
Factors of 2643
List of positive integer factors of 2643 that divides 2643 without a remainder.
1, 3, 881, 2643
Factors of 2648
List of positive integer factors of 2648 that divides 2648 without a remainder.
1, 2, 4, 8, 331, 662, 1324, 2648
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2643 and 2648, than apply into the LCM equation.
GCF(2643,2648) = 1
LCM(2643,2648) = ( 2643 × 2648) / 1
LCM(2643,2648) = 6998664 / 1
LCM(2643,2648) = 6998664
(i) The LCM of 2648 and 2643 is associative
LCM of 2643 and 2648 = LCM of 2648 and 2643
1. What is the LCM of 2643 and 2648?
Answer: LCM of 2643 and 2648 is 6998664.
2. What are the Factors of 2643?
Answer: Factors of 2643 are 1, 3, 881, 2643. There are 4 integers that are factors of 2643. The greatest factor of 2643 is 2643.
3. What are the Factors of 2648?
Answer: Factors of 2648 are 1, 2, 4, 8, 331, 662, 1324, 2648. There are 8 integers that are factors of 2648. The greatest factor of 2648 is 2648.
4. How to Find the LCM of 2643 and 2648?
Answer:
Least Common Multiple of 2643 and 2648 = 6998664
Step 1: Find the prime factorization of 2643
2643 = 3 x 881
Step 2: Find the prime factorization of 2648
2648 = 2 x 2 x 2 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6998664 = 2 x 2 x 2 x 3 x 331 x 881
Step 4: Therefore, the least common multiple of 2643 and 2648 is 6998664.