Least Common Multiple (LCM) of 160 and 56
The least common multiple (LCM) of 160 and 56 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 56?
First, calculate the GCD of 160 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 56 = 2 remainder 48 |
| 2 | 56 ÷ 48 = 1 remainder 8 |
| 3 | 48 ÷ 8 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 66 | 2046 |
| 41 and 18 | 738 |
| 14 and 142 | 994 |
| 178 and 14 | 1246 |
| 138 and 72 | 1656 |