Least Common Multiple (LCM) of 112 and 160
The least common multiple (LCM) of 112 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 112 and 160?
First, calculate the GCD of 112 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 160 = 0 remainder 112 |
| 2 | 160 ÷ 112 = 1 remainder 48 |
| 3 | 112 ÷ 48 = 2 remainder 16 |
| 4 | 48 ÷ 16 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 37 | 5550 |
| 54 and 21 | 378 |
| 79 and 153 | 12087 |
| 200 and 51 | 10200 |
| 42 and 180 | 1260 |