Least Common Multiple (LCM) of 161 and 49
The least common multiple (LCM) of 161 and 49 is 1127.
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 161 and 49?
First, calculate the GCD of 161 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 49 = 3 remainder 14 |
| 2 | 49 ÷ 14 = 3 remainder 7 |
| 3 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 37 | 6401 |
| 42 and 147 | 294 |
| 192 and 90 | 2880 |
| 16 and 108 | 432 |
| 20 and 126 | 1260 |