Least Common Multiple (LCM) of 147 and 172
The least common multiple (LCM) of 147 and 172 is 25284.
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 172?
First, calculate the GCD of 147 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 172 = 0 remainder 147 |
| 2 | 172 ÷ 147 = 1 remainder 25 |
| 3 | 147 ÷ 25 = 5 remainder 22 |
| 4 | 25 ÷ 22 = 1 remainder 3 |
| 5 | 22 ÷ 3 = 7 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 172 | 32164 |
| 147 and 172 | 25284 |
| 137 and 189 | 25893 |
| 76 and 163 | 12388 |
| 150 and 50 | 150 |