Least Common Multiple (LCM) of 102 and 48
The least common multiple (LCM) of 102 and 48 is 816.
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 102 and 48?
First, calculate the GCD of 102 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 48 = 2 remainder 6 |
| 2 | 48 ÷ 6 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 23 | 2300 |
| 193 and 137 | 26441 |
| 21 and 154 | 462 |
| 68 and 28 | 476 |
| 135 and 193 | 26055 |