Least Common Multiple (LCM) of 160 and 112
The least common multiple (LCM) of 160 and 112 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 160 and 112?
First, calculate the GCD of 160 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 112 = 1 remainder 48 |
| 2 | 112 ÷ 48 = 2 remainder 16 |
| 3 | 48 ÷ 16 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 75 | 1200 |
| 62 and 40 | 1240 |
| 116 and 116 | 116 |
| 74 and 104 | 3848 |
| 85 and 40 | 680 |