Least Common Multiple (LCM) of 24 and 118
The least common multiple (LCM) of 24 and 118 is 1416.
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 118?
First, calculate the GCD of 24 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 118 = 0 remainder 24 |
| 2 | 118 ÷ 24 = 4 remainder 22 |
| 3 | 24 ÷ 22 = 1 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 182 | 18018 |
| 117 and 104 | 936 |
| 36 and 199 | 7164 |
| 169 and 110 | 18590 |
| 137 and 30 | 4110 |