Least Common Multiple (LCM) of 61 and 166
The least common multiple (LCM) of 61 and 166 is 10126.
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 61 and 166?
First, calculate the GCD of 61 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 166 = 0 remainder 61 |
| 2 | 166 ÷ 61 = 2 remainder 44 |
| 3 | 61 ÷ 44 = 1 remainder 17 |
| 4 | 44 ÷ 17 = 2 remainder 10 |
| 5 | 17 ÷ 10 = 1 remainder 7 |
| 6 | 10 ÷ 7 = 1 remainder 3 |
| 7 | 7 ÷ 3 = 2 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 83 | 8466 |
| 37 and 83 | 3071 |
| 180 and 145 | 5220 |
| 176 and 67 | 11792 |
| 149 and 193 | 28757 |