Least Common Multiple (LCM) of 144 and 166
The least common multiple (LCM) of 144 and 166 is 11952.
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 144 and 166?
First, calculate the GCD of 144 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 166 = 0 remainder 144 |
| 2 | 166 ÷ 144 = 1 remainder 22 |
| 3 | 144 ÷ 22 = 6 remainder 12 |
| 4 | 22 ÷ 12 = 1 remainder 10 |
| 5 | 12 ÷ 10 = 1 remainder 2 |
| 6 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 159 | 8109 |
| 187 and 194 | 36278 |
| 182 and 144 | 13104 |
| 102 and 75 | 2550 |
| 17 and 53 | 901 |