Least Common Multiple (LCM) of 169 and 118
The least common multiple (LCM) of 169 and 118 is 19942.
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 118?
First, calculate the GCD of 169 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 118 = 1 remainder 51 |
| 2 | 118 ÷ 51 = 2 remainder 16 |
| 3 | 51 ÷ 16 = 3 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 18 | 198 |
| 85 and 107 | 9095 |
| 156 and 185 | 28860 |
| 166 and 168 | 13944 |
| 53 and 115 | 6095 |