Least Common Multiple (LCM) of 36 and 166
The least common multiple (LCM) of 36 and 166 is 2988.
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 36 and 166?
First, calculate the GCD of 36 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 166 = 0 remainder 36 |
| 2 | 166 ÷ 36 = 4 remainder 22 |
| 3 | 36 ÷ 22 = 1 remainder 14 |
| 4 | 22 ÷ 14 = 1 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 18 | 522 |
| 120 and 124 | 3720 |
| 100 and 101 | 10100 |
| 71 and 35 | 2485 |
| 68 and 193 | 13124 |