Least Common Multiple (LCM) of 189 and 187
The least common multiple (LCM) of 189 and 187 is 35343.
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 189 and 187?
First, calculate the GCD of 189 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 187 = 1 remainder 2 |
| 2 | 187 ÷ 2 = 93 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 91 | 10738 |
| 185 and 131 | 24235 |
| 156 and 60 | 780 |
| 152 and 98 | 7448 |
| 93 and 198 | 6138 |