Least Common Multiple (LCM) of 164 and 144
The least common multiple (LCM) of 164 and 144 is 5904.
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 164 and 144?
First, calculate the GCD of 164 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 144 = 1 remainder 20 |
| 2 | 144 ÷ 20 = 7 remainder 4 |
| 3 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 24 | 840 |
| 20 and 16 | 80 |
| 142 and 177 | 25134 |
| 184 and 108 | 4968 |
| 180 and 149 | 26820 |