Least Common Multiple (LCM) of 104 and 164
The least common multiple (LCM) of 104 and 164 is 4264.
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 104 and 164?
First, calculate the GCD of 104 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 164 = 0 remainder 104 |
| 2 | 164 ÷ 104 = 1 remainder 60 |
| 3 | 104 ÷ 60 = 1 remainder 44 |
| 4 | 60 ÷ 44 = 1 remainder 16 |
| 5 | 44 ÷ 16 = 2 remainder 12 |
| 6 | 16 ÷ 12 = 1 remainder 4 |
| 7 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 160 | 6560 |
| 94 and 40 | 1880 |
| 158 and 185 | 29230 |
| 36 and 42 | 252 |
| 163 and 54 | 8802 |