Least Common Multiple (LCM) of 168 and 48
The least common multiple (LCM) of 168 and 48 is 336.
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 48?
First, calculate the GCD of 168 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 48 = 3 remainder 24 |
| 2 | 48 ÷ 24 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 96 | 4704 |
| 182 and 123 | 22386 |
| 99 and 137 | 13563 |
| 148 and 64 | 2368 |
| 199 and 147 | 29253 |