Least Common Multiple (LCM) of 161 and 79
The least common multiple (LCM) of 161 and 79 is 12719.
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 79?
First, calculate the GCD of 161 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 79 = 2 remainder 3 |
| 2 | 79 ÷ 3 = 26 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 112 | 3024 |
| 195 and 168 | 10920 |
| 64 and 19 | 1216 |
| 131 and 30 | 3930 |
| 163 and 93 | 15159 |