Least Common Multiple (LCM) of 187 and 54
The least common multiple (LCM) of 187 and 54 is 10098.
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 54?
First, calculate the GCD of 187 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 54 = 3 remainder 25 |
| 2 | 54 ÷ 25 = 2 remainder 4 |
| 3 | 25 ÷ 4 = 6 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 88 | 1848 |
| 193 and 90 | 17370 |
| 189 and 85 | 16065 |
| 146 and 120 | 8760 |
| 79 and 12 | 948 |