Least Common Multiple (LCM) of 102 and 50
The least common multiple (LCM) of 102 and 50 is 2550.
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 50?
First, calculate the GCD of 102 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 50 = 2 remainder 2 |
| 2 | 50 ÷ 2 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 66 | 8382 |
| 112 and 89 | 9968 |
| 187 and 159 | 29733 |
| 105 and 14 | 210 |
| 146 and 85 | 12410 |