Least Common Multiple (LCM) of 102 and 187
The least common multiple (LCM) of 102 and 187 is 1122.
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 102 and 187?
First, calculate the GCD of 102 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 187 = 0 remainder 102 |
| 2 | 187 ÷ 102 = 1 remainder 85 |
| 3 | 102 ÷ 85 = 1 remainder 17 |
| 4 | 85 ÷ 17 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 162 | 11826 |
| 31 and 40 | 1240 |
| 128 and 187 | 23936 |
| 112 and 47 | 5264 |
| 102 and 165 | 5610 |