Least Common Multiple (LCM) of 56 and 95
The least common multiple (LCM) of 56 and 95 is 5320.
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 95?
First, calculate the GCD of 56 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 95 = 0 remainder 56 |
| 2 | 95 ÷ 56 = 1 remainder 39 |
| 3 | 56 ÷ 39 = 1 remainder 17 |
| 4 | 39 ÷ 17 = 2 remainder 5 |
| 5 | 17 ÷ 5 = 3 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 11 | 1969 |
| 134 and 121 | 16214 |
| 54 and 54 | 54 |
| 71 and 51 | 3621 |
| 59 and 60 | 3540 |