Least Common Multiple (LCM) of 68 and 167
The least common multiple (LCM) of 68 and 167 is 11356.
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 68 and 167?
First, calculate the GCD of 68 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 167 = 0 remainder 68 |
| 2 | 167 ÷ 68 = 2 remainder 31 |
| 3 | 68 ÷ 31 = 2 remainder 6 |
| 4 | 31 ÷ 6 = 5 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 84 | 1428 |
| 123 and 191 | 23493 |
| 163 and 122 | 19886 |
| 176 and 103 | 18128 |
| 32 and 137 | 4384 |