Least Common Multiple (LCM) of 59 and 35
The least common multiple (LCM) of 59 and 35 is 2065.
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 35?
First, calculate the GCD of 59 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 35 = 1 remainder 24 |
| 2 | 35 ÷ 24 = 1 remainder 11 |
| 3 | 24 ÷ 11 = 2 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 154 | 1694 |
| 109 and 140 | 15260 |
| 133 and 187 | 24871 |
| 28 and 18 | 252 |
| 27 and 50 | 1350 |