Least Common Multiple (LCM) of 187 and 59
The least common multiple (LCM) of 187 and 59 is 11033.
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 59?
First, calculate the GCD of 187 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 59 = 3 remainder 10 |
| 2 | 59 ÷ 10 = 5 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 105 | 12180 |
| 82 and 150 | 6150 |
| 40 and 94 | 1880 |
| 104 and 55 | 5720 |
| 144 and 158 | 11376 |