Least Common Multiple (LCM) of 92 and 141
The least common multiple (LCM) of 92 and 141 is 12972.
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 92 and 141?
First, calculate the GCD of 92 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 141 = 0 remainder 92 |
| 2 | 141 ÷ 92 = 1 remainder 49 |
| 3 | 92 ÷ 49 = 1 remainder 43 |
| 4 | 49 ÷ 43 = 1 remainder 6 |
| 5 | 43 ÷ 6 = 7 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 63 | 315 |
| 43 and 49 | 2107 |
| 32 and 12 | 96 |
| 162 and 122 | 9882 |
| 123 and 133 | 16359 |