Least Common Multiple (LCM) of 167 and 82
The least common multiple (LCM) of 167 and 82 is 13694.
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 82?
First, calculate the GCD of 167 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 82 = 2 remainder 3 |
| 2 | 82 ÷ 3 = 27 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 150 | 15150 |
| 24 and 144 | 144 |
| 141 and 43 | 6063 |
| 40 and 35 | 280 |
| 109 and 107 | 11663 |