Least Common Multiple (LCM) of 161 and 77
The least common multiple (LCM) of 161 and 77 is 1771.
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 77?
First, calculate the GCD of 161 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 77 = 2 remainder 7 |
| 2 | 77 ÷ 7 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 146 | 10366 |
| 144 and 78 | 1872 |
| 31 and 27 | 837 |
| 89 and 96 | 8544 |
| 185 and 14 | 2590 |