Least Common Multiple (LCM) of 67 and 66
The least common multiple (LCM) of 67 and 66 is 4422.
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 67 and 66?
First, calculate the GCD of 67 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 67 ÷ 66 = 1 remainder 1 |
| 2 | 66 ÷ 1 = 66 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 36 | 756 |
| 150 and 23 | 3450 |
| 89 and 81 | 7209 |
| 141 and 189 | 8883 |
| 115 and 156 | 17940 |