Least Common Multiple (LCM) of 128 and 166
The least common multiple (LCM) of 128 and 166 is 10624.
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 128 and 166?
First, calculate the GCD of 128 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 166 = 0 remainder 128 |
| 2 | 166 ÷ 128 = 1 remainder 38 |
| 3 | 128 ÷ 38 = 3 remainder 14 |
| 4 | 38 ÷ 14 = 2 remainder 10 |
| 5 | 14 ÷ 10 = 1 remainder 4 |
| 6 | 10 ÷ 4 = 2 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 48 | 480 |
| 115 and 122 | 14030 |
| 114 and 111 | 4218 |
| 32 and 185 | 5920 |
| 142 and 45 | 6390 |