Least Common Multiple (LCM) of 59 and 181
The least common multiple (LCM) of 59 and 181 is 10679.
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 181?
First, calculate the GCD of 59 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 181 = 0 remainder 59 |
| 2 | 181 ÷ 59 = 3 remainder 4 |
| 3 | 59 ÷ 4 = 14 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 49 | 5390 |
| 142 and 114 | 8094 |
| 85 and 173 | 14705 |
| 108 and 164 | 4428 |
| 45 and 91 | 4095 |