Least Common Multiple (LCM) of 160 and 166
The least common multiple (LCM) of 160 and 166 is 13280.
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 160 and 166?
First, calculate the GCD of 160 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 166 = 0 remainder 160 |
| 2 | 166 ÷ 160 = 1 remainder 6 |
| 3 | 160 ÷ 6 = 26 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 45 | 1710 |
| 169 and 149 | 25181 |
| 32 and 74 | 1184 |
| 133 and 125 | 16625 |
| 161 and 54 | 8694 |