Least Common Multiple (LCM) of 119 and 146
The least common multiple (LCM) of 119 and 146 is 17374.
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 146?
First, calculate the GCD of 119 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 146 = 0 remainder 119 |
| 2 | 146 ÷ 119 = 1 remainder 27 |
| 3 | 119 ÷ 27 = 4 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 |
|---|---|
| 113 and 112 | 12656 |
| 114 and 83 | 9462 |
| 15 and 57 | 285 |
| 178 and 31 | 5518 |
| 112 and 199 | 22288 |