Least Common Multiple (LCM) of 148 and 167
The least common multiple (LCM) of 148 and 167 is 24716.
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 148 and 167?
First, calculate the GCD of 148 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 167 = 0 remainder 148 |
| 2 | 167 ÷ 148 = 1 remainder 19 |
| 3 | 148 ÷ 19 = 7 remainder 15 |
| 4 | 19 ÷ 15 = 1 remainder 4 |
| 5 | 15 ÷ 4 = 3 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 131 | 5633 |
| 101 and 108 | 10908 |
| 193 and 171 | 33003 |
| 75 and 31 | 2325 |
| 76 and 164 | 3116 |