Least Common Multiple (LCM) of 141 and 92
The least common multiple (LCM) of 141 and 92 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 141 and 92?
First, calculate the GCD of 141 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 92 = 1 remainder 49 |
| 2 | 92 ÷ 49 = 1 remainder 43 |
| 3 | 49 ÷ 43 = 1 remainder 6 |
| 4 | 43 ÷ 6 = 7 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 138 | 2622 |
| 151 and 104 | 15704 |
| 175 and 136 | 23800 |
| 160 and 172 | 6880 |
| 168 and 74 | 6216 |