Least Common Multiple (LCM) of 178 and 24
The least common multiple (LCM) of 178 and 24 is 2136.
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 178 and 24?
First, calculate the GCD of 178 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 24 = 7 remainder 10 |
| 2 | 24 ÷ 10 = 2 remainder 4 |
| 3 | 10 ÷ 4 = 2 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 75 | 1425 |
| 144 and 107 | 15408 |
| 153 and 49 | 7497 |
| 143 and 27 | 3861 |
| 135 and 198 | 2970 |