Least Common Multiple (LCM) of 166 and 61
The least common multiple (LCM) of 166 and 61 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 166 and 61?
First, calculate the GCD of 166 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 61 = 2 remainder 44 |
| 2 | 61 ÷ 44 = 1 remainder 17 |
| 3 | 44 ÷ 17 = 2 remainder 10 |
| 4 | 17 ÷ 10 = 1 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 109 | 11227 |
| 21 and 172 | 3612 |
| 93 and 10 | 930 |
| 142 and 164 | 11644 |
| 111 and 105 | 3885 |