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 |
|---|---|
| 48 and 101 | 4848 |
| 81 and 40 | 3240 |
| 161 and 65 | 10465 |
| 138 and 13 | 1794 |
| 117 and 198 | 2574 |