Least Common Multiple (LCM) of 56 and 26
The least common multiple (LCM) of 56 and 26 is 728.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 56 and 26?
First, calculate the GCD of 56 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 26 = 2 remainder 4 |
| 2 | 26 ÷ 4 = 6 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 96 | 5088 |
| 111 and 47 | 5217 |
| 105 and 144 | 5040 |
| 184 and 179 | 32936 |
| 107 and 73 | 7811 |