Least Common Multiple (LCM) of 169 and 81
The least common multiple (LCM) of 169 and 81 is 13689.
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 81?
First, calculate the GCD of 169 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 81 = 2 remainder 7 |
| 2 | 81 ÷ 7 = 11 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 196 | 21364 |
| 136 and 127 | 17272 |
| 114 and 112 | 6384 |
| 57 and 104 | 5928 |
| 151 and 85 | 12835 |