Least Common Multiple (LCM) of 167 and 43
The least common multiple (LCM) of 167 and 43 is 7181.
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 43?
First, calculate the GCD of 167 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 43 = 3 remainder 38 |
| 2 | 43 ÷ 38 = 1 remainder 5 |
| 3 | 38 ÷ 5 = 7 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 47 | 9165 |
| 96 and 162 | 2592 |
| 193 and 151 | 29143 |
| 137 and 148 | 20276 |
| 60 and 123 | 2460 |