Least Common Multiple (LCM) of 161 and 91
The least common multiple (LCM) of 161 and 91 is 2093.
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 91?
First, calculate the GCD of 161 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 91 = 1 remainder 70 |
| 2 | 91 ÷ 70 = 1 remainder 21 |
| 3 | 70 ÷ 21 = 3 remainder 7 |
| 4 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 36 | 720 |
| 97 and 25 | 2425 |
| 150 and 77 | 11550 |
| 133 and 128 | 17024 |
| 23 and 177 | 4071 |