Least Common Multiple (LCM) of 50 and 58
The least common multiple (LCM) of 50 and 58 is 1450.
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 50 and 58?
First, calculate the GCD of 50 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 58 = 0 remainder 50 |
| 2 | 58 ÷ 50 = 1 remainder 8 |
| 3 | 50 ÷ 8 = 6 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 25 | 400 |
| 184 and 35 | 6440 |
| 48 and 146 | 3504 |
| 18 and 105 | 630 |
| 190 and 180 | 3420 |