Least Common Multiple (LCM) of 71 and 59
The least common multiple (LCM) of 71 and 59 is 4189.
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 71 and 59?
First, calculate the GCD of 71 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 59 = 1 remainder 12 |
| 2 | 59 ÷ 12 = 4 remainder 11 |
| 3 | 12 ÷ 11 = 1 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 148 | 10804 |
| 170 and 159 | 27030 |
| 123 and 36 | 1476 |
| 20 and 196 | 980 |
| 174 and 147 | 8526 |