Least Common Multiple (LCM) of 65 and 166
The least common multiple (LCM) of 65 and 166 is 10790.
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 65 and 166?
First, calculate the GCD of 65 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 65 ÷ 166 = 0 remainder 65 |
| 2 | 166 ÷ 65 = 2 remainder 36 |
| 3 | 65 ÷ 36 = 1 remainder 29 |
| 4 | 36 ÷ 29 = 1 remainder 7 |
| 5 | 29 ÷ 7 = 4 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 22 | 2090 |
| 187 and 108 | 20196 |
| 136 and 123 | 16728 |
| 38 and 79 | 3002 |
| 183 and 17 | 3111 |