Least Common Multiple (LCM) of 141 and 160
The least common multiple (LCM) of 141 and 160 is 22560.
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 141 and 160?
First, calculate the GCD of 141 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 160 = 0 remainder 141 |
| 2 | 160 ÷ 141 = 1 remainder 19 |
| 3 | 141 ÷ 19 = 7 remainder 8 |
| 4 | 19 ÷ 8 = 2 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 119 | 1309 |
| 32 and 167 | 5344 |
| 74 and 118 | 4366 |
| 169 and 95 | 16055 |
| 109 and 87 | 9483 |