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 |
|---|---|
| 130 and 99 | 12870 |
| 154 and 36 | 2772 |
| 72 and 174 | 2088 |
| 65 and 151 | 9815 |
| 130 and 124 | 8060 |