Least Common Multiple (LCM) of 167 and 160
The least common multiple (LCM) of 167 and 160 is 26720.
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 167 and 160?
First, calculate the GCD of 167 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 160 = 1 remainder 7 |
| 2 | 160 ÷ 7 = 22 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 45 | 945 |
| 54 and 135 | 270 |
| 189 and 172 | 32508 |
| 57 and 49 | 2793 |
| 70 and 194 | 6790 |