Least Common Multiple (LCM) of 59 and 66
The least common multiple (LCM) of 59 and 66 is 3894.
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 66?
First, calculate the GCD of 59 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 66 = 0 remainder 59 |
| 2 | 66 ÷ 59 = 1 remainder 7 |
| 3 | 59 ÷ 7 = 8 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 33 | 4983 |
| 100 and 21 | 2100 |
| 178 and 142 | 12638 |
| 26 and 88 | 1144 |
| 136 and 158 | 10744 |