Least Common Multiple (LCM) of 155 and 92
The least common multiple (LCM) of 155 and 92 is 14260.
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 155 and 92?
First, calculate the GCD of 155 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 92 = 1 remainder 63 |
| 2 | 92 ÷ 63 = 1 remainder 29 |
| 3 | 63 ÷ 29 = 2 remainder 5 |
| 4 | 29 ÷ 5 = 5 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 78 | 936 |
| 65 and 172 | 11180 |
| 131 and 90 | 11790 |
| 89 and 117 | 10413 |
| 34 and 96 | 1632 |