Least Common Multiple (LCM) of 168 and 154
The least common multiple (LCM) of 168 and 154 is 1848.
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 168 and 154?
First, calculate the GCD of 168 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 154 = 1 remainder 14 |
| 2 | 154 ÷ 14 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 78 | 6708 |
| 175 and 93 | 16275 |
| 195 and 165 | 2145 |
| 143 and 34 | 4862 |
| 148 and 31 | 4588 |