Least Common Multiple (LCM) of 146 and 119
The least common multiple (LCM) of 146 and 119 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 146 and 119?
First, calculate the GCD of 146 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 119 = 1 remainder 27 |
| 2 | 119 ÷ 27 = 4 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 |
|---|---|
| 79 and 155 | 12245 |
| 196 and 176 | 8624 |
| 54 and 131 | 7074 |
| 159 and 191 | 30369 |
| 171 and 155 | 26505 |