Least Common Multiple (LCM) of 167 and 68
The least common multiple (LCM) of 167 and 68 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 167 and 68?
First, calculate the GCD of 167 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 68 = 2 remainder 31 |
| 2 | 68 ÷ 31 = 2 remainder 6 |
| 3 | 31 ÷ 6 = 5 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 113 | 13899 |
| 69 and 73 | 5037 |
| 42 and 73 | 3066 |
| 14 and 115 | 1610 |
| 105 and 45 | 315 |