Least Common Multiple (LCM) of 48 and 193
The least common multiple (LCM) of 48 and 193 is 9264.
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 48 and 193?
First, calculate the GCD of 48 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 193 = 0 remainder 48 |
| 2 | 193 ÷ 48 = 4 remainder 1 |
| 3 | 48 ÷ 1 = 48 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 83 | 8632 |
| 79 and 102 | 8058 |
| 172 and 127 | 21844 |
| 174 and 121 | 21054 |
| 108 and 184 | 4968 |