Least Common Multiple (LCM) of 91 and 161
The least common multiple (LCM) of 91 and 161 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 91 and 161?
First, calculate the GCD of 91 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 161 = 0 remainder 91 |
| 2 | 161 ÷ 91 = 1 remainder 70 |
| 3 | 91 ÷ 70 = 1 remainder 21 |
| 4 | 70 ÷ 21 = 3 remainder 7 |
| 5 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 18 | 1008 |
| 152 and 150 | 11400 |
| 88 and 191 | 16808 |
| 71 and 114 | 8094 |
| 81 and 87 | 2349 |