Least Common Multiple (LCM) of 187 and 52
The least common multiple (LCM) of 187 and 52 is 9724.
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 52?
First, calculate the GCD of 187 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 52 = 3 remainder 31 |
| 2 | 52 ÷ 31 = 1 remainder 21 |
| 3 | 31 ÷ 21 = 1 remainder 10 |
| 4 | 21 ÷ 10 = 2 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 86 | 5504 |
| 68 and 63 | 4284 |
| 146 and 180 | 13140 |
| 102 and 54 | 918 |
| 159 and 169 | 26871 |