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 |
|---|---|
| 106 and 104 | 5512 |
| 156 and 52 | 156 |
| 26 and 146 | 1898 |
| 158 and 141 | 22278 |
| 190 and 135 | 5130 |