Least Common Multiple (LCM) of 67 and 167
The least common multiple (LCM) of 67 and 167 is 11189.
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 67 and 167?
First, calculate the GCD of 67 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 67 ÷ 167 = 0 remainder 67 |
| 2 | 167 ÷ 67 = 2 remainder 33 |
| 3 | 67 ÷ 33 = 2 remainder 1 |
| 4 | 33 ÷ 1 = 33 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 74 | 9398 |
| 95 and 67 | 6365 |
| 130 and 48 | 3120 |
| 119 and 89 | 10591 |
| 160 and 93 | 14880 |