Least Common Multiple (LCM) of 20 and 166
The least common multiple (LCM) of 20 and 166 is 1660.
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 20 and 166?
First, calculate the GCD of 20 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 166 = 0 remainder 20 |
| 2 | 166 ÷ 20 = 8 remainder 6 |
| 3 | 20 ÷ 6 = 3 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 74 | 222 |
| 75 and 139 | 10425 |
| 123 and 41 | 123 |
| 31 and 93 | 93 |
| 164 and 132 | 5412 |