Least Common Multiple (LCM) of 147 and 22
The least common multiple (LCM) of 147 and 22 is 3234.
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 147 and 22?
First, calculate the GCD of 147 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 22 = 6 remainder 15 |
| 2 | 22 ÷ 15 = 1 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 144 | 144 |
| 112 and 157 | 17584 |
| 173 and 193 | 33389 |
| 188 and 195 | 36660 |
| 25 and 178 | 4450 |