Least Common Multiple (LCM) of 59 and 146
The least common multiple (LCM) of 59 and 146 is 8614.
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 146?
First, calculate the GCD of 59 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 146 = 0 remainder 59 |
| 2 | 146 ÷ 59 = 2 remainder 28 |
| 3 | 59 ÷ 28 = 2 remainder 3 |
| 4 | 28 ÷ 3 = 9 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 152 | 1064 |
| 200 and 47 | 9400 |
| 194 and 134 | 12998 |
| 154 and 173 | 26642 |
| 188 and 100 | 4700 |