Least Common Multiple (LCM) of 169 and 187
The least common multiple (LCM) of 169 and 187 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 169 and 187?
First, calculate the GCD of 169 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 187 = 0 remainder 169 |
| 2 | 187 ÷ 169 = 1 remainder 18 |
| 3 | 169 ÷ 18 = 9 remainder 7 |
| 4 | 18 ÷ 7 = 2 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 71 | 4047 |
| 159 and 169 | 26871 |
| 100 and 180 | 900 |
| 74 and 108 | 3996 |
| 165 and 109 | 17985 |