Least Common Multiple (LCM) of 147 and 164
The least common multiple (LCM) of 147 and 164 is 24108.
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 164?
First, calculate the GCD of 147 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 164 = 0 remainder 147 |
| 2 | 164 ÷ 147 = 1 remainder 17 |
| 3 | 147 ÷ 17 = 8 remainder 11 |
| 4 | 17 ÷ 11 = 1 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 13 | 832 |
| 180 and 39 | 2340 |
| 192 and 30 | 960 |
| 172 and 110 | 9460 |
| 20 and 172 | 860 |