Least Common Multiple (LCM) of 59 and 57
The least common multiple (LCM) of 59 and 57 is 3363.
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 57?
First, calculate the GCD of 59 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 57 = 1 remainder 2 |
| 2 | 57 ÷ 2 = 28 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 88 | 880 |
| 103 and 13 | 1339 |
| 140 and 109 | 15260 |
| 163 and 152 | 24776 |
| 184 and 115 | 920 |