Least Common Multiple (LCM) of 166 and 91
The least common multiple (LCM) of 166 and 91 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 166 and 91?
First, calculate the GCD of 166 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 91 = 1 remainder 75 |
| 2 | 91 ÷ 75 = 1 remainder 16 |
| 3 | 75 ÷ 16 = 4 remainder 11 |
| 4 | 16 ÷ 11 = 1 remainder 5 |
| 5 | 11 ÷ 5 = 2 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 22 | 1298 |
| 49 and 138 | 6762 |
| 137 and 200 | 27400 |
| 109 and 149 | 16241 |
| 21 and 35 | 105 |