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 |
|---|---|
| 180 and 170 | 3060 |
| 82 and 122 | 5002 |
| 97 and 103 | 9991 |
| 114 and 117 | 4446 |
| 148 and 197 | 29156 |