Least Common Multiple (LCM) of 154 and 168
The least common multiple (LCM) of 154 and 168 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 154 and 168?
First, calculate the GCD of 154 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 168 = 0 remainder 154 |
| 2 | 168 ÷ 154 = 1 remainder 14 |
| 3 | 154 ÷ 14 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 133 | 26467 |
| 119 and 198 | 23562 |
| 105 and 165 | 1155 |
| 166 and 85 | 14110 |
| 188 and 57 | 10716 |