Least Common Multiple (LCM) of 59 and 81
The least common multiple (LCM) of 59 and 81 is 4779.
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 81?
First, calculate the GCD of 59 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 81 = 0 remainder 59 |
| 2 | 81 ÷ 59 = 1 remainder 22 |
| 3 | 59 ÷ 22 = 2 remainder 15 |
| 4 | 22 ÷ 15 = 1 remainder 7 |
| 5 | 15 ÷ 7 = 2 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 186 | 11346 |
| 35 and 114 | 3990 |
| 48 and 123 | 1968 |
| 26 and 168 | 2184 |
| 170 and 163 | 27710 |