Least Common Multiple (LCM) of 141 and 161
The least common multiple (LCM) of 141 and 161 is 22701.
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 161?
First, calculate the GCD of 141 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 161 = 0 remainder 141 |
| 2 | 161 ÷ 141 = 1 remainder 20 |
| 3 | 141 ÷ 20 = 7 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 64 | 5696 |
| 100 and 61 | 6100 |
| 198 and 18 | 198 |
| 144 and 198 | 1584 |
| 46 and 86 | 1978 |