Least Common Multiple (LCM) of 161 and 126
The least common multiple (LCM) of 161 and 126 is 2898.
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 126?
First, calculate the GCD of 161 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 126 = 1 remainder 35 |
| 2 | 126 ÷ 35 = 3 remainder 21 |
| 3 | 35 ÷ 21 = 1 remainder 14 |
| 4 | 21 ÷ 14 = 1 remainder 7 |
| 5 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 89 | 10591 |
| 174 and 161 | 28014 |
| 134 and 193 | 25862 |
| 81 and 30 | 810 |
| 100 and 15 | 300 |