Least Common Multiple (LCM) of 56 and 160
The least common multiple (LCM) of 56 and 160 is 1120.
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 160?
First, calculate the GCD of 56 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 160 = 0 remainder 56 |
| 2 | 160 ÷ 56 = 2 remainder 48 |
| 3 | 56 ÷ 48 = 1 remainder 8 |
| 4 | 48 ÷ 8 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 17 | 2261 |
| 110 and 147 | 16170 |
| 54 and 49 | 2646 |
| 64 and 130 | 4160 |
| 17 and 156 | 2652 |