Least Common Multiple (LCM) of 30 and 166
The least common multiple (LCM) of 30 and 166 is 2490.
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 30 and 166?
First, calculate the GCD of 30 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 30 ÷ 166 = 0 remainder 30 |
| 2 | 166 ÷ 30 = 5 remainder 16 |
| 3 | 30 ÷ 16 = 1 remainder 14 |
| 4 | 16 ÷ 14 = 1 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 105 | 4200 |
| 104 and 52 | 104 |
| 64 and 167 | 10688 |
| 184 and 136 | 3128 |
| 128 and 42 | 2688 |