Least Common Multiple (LCM) of 66 and 62
The least common multiple (LCM) of 66 and 62 is 2046.
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 66 and 62?
First, calculate the GCD of 66 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 62 = 1 remainder 4 |
| 2 | 62 ÷ 4 = 15 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 49 | 9212 |
| 29 and 109 | 3161 |
| 71 and 180 | 12780 |
| 165 and 146 | 24090 |
| 38 and 157 | 5966 |