Least Common Multiple (LCM) of 119 and 92
The least common multiple (LCM) of 119 and 92 is 10948.
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 119 and 92?
First, calculate the GCD of 119 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 92 = 1 remainder 27 |
| 2 | 92 ÷ 27 = 3 remainder 11 |
| 3 | 27 ÷ 11 = 2 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 80 | 15280 |
| 96 and 18 | 288 |
| 121 and 40 | 4840 |
| 138 and 18 | 414 |
| 71 and 187 | 13277 |