Least Common Multiple (LCM) of 148 and 119
The least common multiple (LCM) of 148 and 119 is 17612.
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 148 and 119?
First, calculate the GCD of 148 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 119 = 1 remainder 29 |
| 2 | 119 ÷ 29 = 4 remainder 3 |
| 3 | 29 ÷ 3 = 9 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 45 | 1800 |
| 106 and 13 | 1378 |
| 167 and 48 | 8016 |
| 191 and 81 | 15471 |
| 17 and 183 | 3111 |