Least Common Multiple (LCM) of 19 and 187
The least common multiple (LCM) of 19 and 187 is 3553.
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 19 and 187?
First, calculate the GCD of 19 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 19 ÷ 187 = 0 remainder 19 |
| 2 | 187 ÷ 19 = 9 remainder 16 |
| 3 | 19 ÷ 16 = 1 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 143 | 1716 |
| 22 and 60 | 660 |
| 120 and 198 | 3960 |
| 161 and 64 | 10304 |
| 189 and 94 | 17766 |