Least Common Multiple (LCM) of 119 and 24
The least common multiple (LCM) of 119 and 24 is 2856.
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 24?
First, calculate the GCD of 119 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 24 = 4 remainder 23 |
| 2 | 24 ÷ 23 = 1 remainder 1 |
| 3 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 176 | 19888 |
| 69 and 84 | 1932 |
| 44 and 71 | 3124 |
| 103 and 121 | 12463 |
| 12 and 165 | 660 |