Least Common Multiple (LCM) of 59 and 162
The least common multiple (LCM) of 59 and 162 is 9558.
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 162?
First, calculate the GCD of 59 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 162 = 0 remainder 59 |
| 2 | 162 ÷ 59 = 2 remainder 44 |
| 3 | 59 ÷ 44 = 1 remainder 15 |
| 4 | 44 ÷ 15 = 2 remainder 14 |
| 5 | 15 ÷ 14 = 1 remainder 1 |
| 6 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 29 | 5423 |
| 115 and 52 | 5980 |
| 109 and 16 | 1744 |
| 119 and 88 | 10472 |
| 40 and 197 | 7880 |