Least Common Multiple (LCM) of 24 and 119
The least common multiple (LCM) of 24 and 119 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 24 and 119?
First, calculate the GCD of 24 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 119 = 0 remainder 24 |
| 2 | 119 ÷ 24 = 4 remainder 23 |
| 3 | 24 ÷ 23 = 1 remainder 1 |
| 4 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 187 | 19261 |
| 184 and 167 | 30728 |
| 192 and 150 | 4800 |
| 14 and 86 | 602 |
| 194 and 44 | 4268 |