Least Common Multiple (LCM) of 160 and 181
The least common multiple (LCM) of 160 and 181 is 28960.
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 181?
First, calculate the GCD of 160 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 181 = 0 remainder 160 |
| 2 | 181 ÷ 160 = 1 remainder 21 |
| 3 | 160 ÷ 21 = 7 remainder 13 |
| 4 | 21 ÷ 13 = 1 remainder 8 |
| 5 | 13 ÷ 8 = 1 remainder 5 |
| 6 | 8 ÷ 5 = 1 remainder 3 |
| 7 | 5 ÷ 3 = 1 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 47 | 846 |
| 29 and 181 | 5249 |
| 110 and 79 | 8690 |
| 120 and 74 | 4440 |
| 42 and 45 | 630 |