Least Common Multiple (LCM) of 169 and 73
The least common multiple (LCM) of 169 and 73 is 12337.
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 73?
First, calculate the GCD of 169 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 73 = 2 remainder 23 |
| 2 | 73 ÷ 23 = 3 remainder 4 |
| 3 | 23 ÷ 4 = 5 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 109 | 1962 |
| 183 and 144 | 8784 |
| 156 and 124 | 4836 |
| 77 and 17 | 1309 |
| 178 and 177 | 31506 |