Least Common Multiple (LCM) of 144 and 92
The least common multiple (LCM) of 144 and 92 is 3312.
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 92?
First, calculate the GCD of 144 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 92 = 1 remainder 52 |
| 2 | 92 ÷ 52 = 1 remainder 40 |
| 3 | 52 ÷ 40 = 1 remainder 12 |
| 4 | 40 ÷ 12 = 3 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 125 | 5750 |
| 133 and 11 | 1463 |
| 146 and 161 | 23506 |
| 186 and 140 | 13020 |
| 26 and 76 | 988 |