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 |
|---|---|
| 145 and 29 | 145 |
| 179 and 14 | 2506 |
| 139 and 119 | 16541 |
| 161 and 121 | 19481 |
| 131 and 31 | 4061 |