Least Common Multiple (LCM) of 164 and 104
The least common multiple (LCM) of 164 and 104 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 164 and 104?
First, calculate the GCD of 164 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 104 = 1 remainder 60 |
| 2 | 104 ÷ 60 = 1 remainder 44 |
| 3 | 60 ÷ 44 = 1 remainder 16 |
| 4 | 44 ÷ 16 = 2 remainder 12 |
| 5 | 16 ÷ 12 = 1 remainder 4 |
| 6 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 82 | 4920 |
| 115 and 128 | 14720 |
| 28 and 26 | 364 |
| 71 and 51 | 3621 |
| 75 and 83 | 6225 |