Least Common Multiple (LCM) of 14 and 164
The least common multiple (LCM) of 14 and 164 is 1148.
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 14 and 164?
First, calculate the GCD of 14 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 14 ÷ 164 = 0 remainder 14 |
| 2 | 164 ÷ 14 = 11 remainder 10 |
| 3 | 14 ÷ 10 = 1 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 109 | 16786 |
| 99 and 66 | 198 |
| 48 and 169 | 8112 |
| 139 and 168 | 23352 |
| 87 and 11 | 957 |