Least Common Multiple (LCM) of 187 and 169
The least common multiple (LCM) of 187 and 169 is 31603.
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 169?
First, calculate the GCD of 187 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 169 = 1 remainder 18 |
| 2 | 169 ÷ 18 = 9 remainder 7 |
| 3 | 18 ÷ 7 = 2 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 194 | 17266 |
| 99 and 169 | 16731 |
| 148 and 187 | 27676 |
| 194 and 87 | 16878 |
| 133 and 75 | 9975 |