Least Common Multiple (LCM) of 59 and 186
The least common multiple (LCM) of 59 and 186 is 10974.
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 59 and 186?
First, calculate the GCD of 59 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 186 = 0 remainder 59 |
| 2 | 186 ÷ 59 = 3 remainder 9 |
| 3 | 59 ÷ 9 = 6 remainder 5 |
| 4 | 9 ÷ 5 = 1 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 25 | 1950 |
| 122 and 43 | 5246 |
| 98 and 164 | 8036 |
| 133 and 74 | 9842 |
| 82 and 193 | 15826 |