Least Common Multiple (LCM) of 160 and 167
The least common multiple (LCM) of 160 and 167 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 160 and 167?
First, calculate the GCD of 160 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 167 = 0 remainder 160 |
| 2 | 167 ÷ 160 = 1 remainder 7 |
| 3 | 160 ÷ 7 = 22 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 68 | 2040 |
| 103 and 83 | 8549 |
| 148 and 68 | 2516 |
| 74 and 159 | 11766 |
| 107 and 188 | 20116 |