Least Common Multiple (LCM) of 56 and 39
The least common multiple (LCM) of 56 and 39 is 2184.
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 39?
First, calculate the GCD of 56 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 39 = 1 remainder 17 |
| 2 | 39 ÷ 17 = 2 remainder 5 |
| 3 | 17 ÷ 5 = 3 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 63 | 5985 |
| 88 and 176 | 176 |
| 29 and 157 | 4553 |
| 43 and 18 | 774 |
| 141 and 35 | 4935 |