Least Common Multiple (LCM) of 50 and 187
The least common multiple (LCM) of 50 and 187 is 9350.
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 187?
First, calculate the GCD of 50 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 187 = 0 remainder 50 |
| 2 | 187 ÷ 50 = 3 remainder 37 |
| 3 | 50 ÷ 37 = 1 remainder 13 |
| 4 | 37 ÷ 13 = 2 remainder 11 |
| 5 | 13 ÷ 11 = 1 remainder 2 |
| 6 | 11 ÷ 2 = 5 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 56 | 7336 |
| 184 and 62 | 5704 |
| 127 and 100 | 12700 |
| 35 and 60 | 420 |
| 36 and 137 | 4932 |