Least Common Multiple (LCM) of 59 and 87
The least common multiple (LCM) of 59 and 87 is 5133.
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 87?
First, calculate the GCD of 59 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 87 = 0 remainder 59 |
| 2 | 87 ÷ 59 = 1 remainder 28 |
| 3 | 59 ÷ 28 = 2 remainder 3 |
| 4 | 28 ÷ 3 = 9 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 166 | 9296 |
| 79 and 140 | 11060 |
| 179 and 160 | 28640 |
| 29 and 134 | 3886 |
| 16 and 65 | 1040 |