Least Common Multiple (LCM) of 92 and 119
The least common multiple (LCM) of 92 and 119 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 92 and 119?
First, calculate the GCD of 92 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 119 = 0 remainder 92 |
| 2 | 119 ÷ 92 = 1 remainder 27 |
| 3 | 92 ÷ 27 = 3 remainder 11 |
| 4 | 27 ÷ 11 = 2 remainder 5 |
| 5 | 11 ÷ 5 = 2 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 109 | 18748 |
| 27 and 14 | 378 |
| 183 and 170 | 31110 |
| 46 and 187 | 8602 |
| 30 and 163 | 4890 |