Least Common Multiple (LCM) of 167 and 117
The least common multiple (LCM) of 167 and 117 is 19539.
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 117?
First, calculate the GCD of 167 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 117 = 1 remainder 50 |
| 2 | 117 ÷ 50 = 2 remainder 17 |
| 3 | 50 ÷ 17 = 2 remainder 16 |
| 4 | 17 ÷ 16 = 1 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 78 | 858 |
| 128 and 157 | 20096 |
| 148 and 82 | 6068 |
| 137 and 60 | 8220 |
| 135 and 165 | 1485 |