Least Common Multiple (LCM) of 13 and 66
The least common multiple (LCM) of 13 and 66 is 858.
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 13 and 66?
First, calculate the GCD of 13 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 13 ÷ 66 = 0 remainder 13 |
| 2 | 66 ÷ 13 = 5 remainder 1 |
| 3 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 169 | 33293 |
| 184 and 59 | 10856 |
| 100 and 88 | 2200 |
| 144 and 132 | 1584 |
| 65 and 121 | 7865 |