Least Common Multiple (LCM) of 166 and 120
The least common multiple (LCM) of 166 and 120 is 9960.
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 120?
First, calculate the GCD of 166 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 120 = 1 remainder 46 |
| 2 | 120 ÷ 46 = 2 remainder 28 |
| 3 | 46 ÷ 28 = 1 remainder 18 |
| 4 | 28 ÷ 18 = 1 remainder 10 |
| 5 | 18 ÷ 10 = 1 remainder 8 |
| 6 | 10 ÷ 8 = 1 remainder 2 |
| 7 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 20 | 120 |
| 173 and 192 | 33216 |
| 161 and 67 | 10787 |
| 164 and 48 | 1968 |
| 187 and 130 | 24310 |