Least Common Multiple (LCM) of 187 and 62
The least common multiple (LCM) of 187 and 62 is 11594.
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 187 and 62?
First, calculate the GCD of 187 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 62 = 3 remainder 1 |
| 2 | 62 ÷ 1 = 62 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 150 | 1950 |
| 193 and 136 | 26248 |
| 149 and 190 | 28310 |
| 159 and 198 | 10494 |
| 42 and 52 | 1092 |