Least Common Multiple (LCM) of 162 and 167
The least common multiple (LCM) of 162 and 167 is 27054.
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 162 and 167?
First, calculate the GCD of 162 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 167 = 0 remainder 162 |
| 2 | 167 ÷ 162 = 1 remainder 5 |
| 3 | 162 ÷ 5 = 32 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 100 | 6100 |
| 68 and 74 | 2516 |
| 113 and 31 | 3503 |
| 168 and 35 | 840 |
| 183 and 134 | 24522 |