Least Common Multiple (LCM) of 166 and 72
The least common multiple (LCM) of 166 and 72 is 5976.
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 72?
First, calculate the GCD of 166 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 72 = 2 remainder 22 |
| 2 | 72 ÷ 22 = 3 remainder 6 |
| 3 | 22 ÷ 6 = 3 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 99 | 1287 |
| 42 and 148 | 3108 |
| 198 and 83 | 16434 |
| 125 and 200 | 1000 |
| 138 and 193 | 26634 |