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 |
|---|---|
| 115 and 48 | 5520 |
| 192 and 121 | 23232 |
| 104 and 157 | 16328 |
| 67 and 77 | 5159 |
| 10 and 100 | 100 |