Least Common Multiple (LCM) of 91 and 166
The least common multiple (LCM) of 91 and 166 is 15106.
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 166?
First, calculate the GCD of 91 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 166 = 0 remainder 91 |
| 2 | 166 ÷ 91 = 1 remainder 75 |
| 3 | 91 ÷ 75 = 1 remainder 16 |
| 4 | 75 ÷ 16 = 4 remainder 11 |
| 5 | 16 ÷ 11 = 1 remainder 5 |
| 6 | 11 ÷ 5 = 2 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 135 | 2295 |
| 100 and 144 | 3600 |
| 96 and 165 | 5280 |
| 50 and 11 | 550 |
| 105 and 157 | 16485 |