Least Common Multiple (LCM) of 164 and 108
The least common multiple (LCM) of 164 and 108 is 4428.
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 108?
First, calculate the GCD of 164 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 108 = 1 remainder 56 |
| 2 | 108 ÷ 56 = 1 remainder 52 |
| 3 | 56 ÷ 52 = 1 remainder 4 |
| 4 | 52 ÷ 4 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 105 | 14070 |
| 29 and 187 | 5423 |
| 140 and 121 | 16940 |
| 167 and 62 | 10354 |
| 172 and 17 | 2924 |