Least Common Multiple (LCM) of 166 and 30
The least common multiple (LCM) of 166 and 30 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 166 and 30?
First, calculate the GCD of 166 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 30 = 5 remainder 16 |
| 2 | 30 ÷ 16 = 1 remainder 14 |
| 3 | 16 ÷ 14 = 1 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 107 | 19260 |
| 95 and 73 | 6935 |
| 46 and 152 | 3496 |
| 120 and 25 | 600 |
| 126 and 193 | 24318 |