Least Common Multiple (LCM) of 24 and 186
The least common multiple (LCM) of 24 and 186 is 744.
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 186?
First, calculate the GCD of 24 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 186 = 0 remainder 24 |
| 2 | 186 ÷ 24 = 7 remainder 18 |
| 3 | 24 ÷ 18 = 1 remainder 6 |
| 4 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 100 | 4800 |
| 33 and 155 | 5115 |
| 188 and 193 | 36284 |
| 155 and 27 | 4185 |
| 200 and 144 | 3600 |