Least Common Multiple (LCM) of 119 and 48
The least common multiple (LCM) of 119 and 48 is 5712.
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 48?
First, calculate the GCD of 119 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 48 = 2 remainder 23 |
| 2 | 48 ÷ 23 = 2 remainder 2 |
| 3 | 23 ÷ 2 = 11 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 41 | 5904 |
| 88 and 37 | 3256 |
| 153 and 120 | 6120 |
| 18 and 189 | 378 |
| 62 and 53 | 3286 |