Least Common Multiple (LCM) of 187 and 24
The least common multiple (LCM) of 187 and 24 is 4488.
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 187 and 24?
First, calculate the GCD of 187 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 24 = 7 remainder 19 |
| 2 | 24 ÷ 19 = 1 remainder 5 |
| 3 | 19 ÷ 5 = 3 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 97 | 17072 |
| 98 and 184 | 9016 |
| 130 and 195 | 390 |
| 30 and 164 | 2460 |
| 114 and 81 | 3078 |