Least Common Multiple (LCM) of 67 and 22
The least common multiple (LCM) of 67 and 22 is 1474.
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 22?
First, calculate the GCD of 67 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 67 ÷ 22 = 3 remainder 1 |
| 2 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 59 | 9676 |
| 194 and 136 | 13192 |
| 131 and 28 | 3668 |
| 66 and 153 | 3366 |
| 181 and 28 | 5068 |