Least Common Multiple (LCM) of 22 and 67
The least common multiple (LCM) of 22 and 67 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 22 and 67?
First, calculate the GCD of 22 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 67 = 0 remainder 22 |
| 2 | 67 ÷ 22 = 3 remainder 1 |
| 3 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 156 | 26988 |
| 172 and 159 | 27348 |
| 24 and 42 | 168 |
| 179 and 118 | 21122 |
| 119 and 88 | 10472 |