Least Common Multiple (LCM) of 169 and 11
The least common multiple (LCM) of 169 and 11 is 1859.
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 11?
First, calculate the GCD of 169 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 11 = 15 remainder 4 |
| 2 | 11 ÷ 4 = 2 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 109 | 14715 |
| 65 and 62 | 4030 |
| 193 and 169 | 32617 |
| 105 and 77 | 1155 |
| 178 and 132 | 11748 |