Least Common Multiple (LCM) of 50 and 93
The least common multiple (LCM) of 50 and 93 is 4650.
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 93?
First, calculate the GCD of 50 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 93 = 0 remainder 50 |
| 2 | 93 ÷ 50 = 1 remainder 43 |
| 3 | 50 ÷ 43 = 1 remainder 7 |
| 4 | 43 ÷ 7 = 6 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 191 | 25976 |
| 132 and 138 | 3036 |
| 88 and 131 | 11528 |
| 13 and 137 | 1781 |
| 195 and 186 | 12090 |