Least Common Multiple (LCM) of 169 and 44
The least common multiple (LCM) of 169 and 44 is 7436.
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 44?
First, calculate the GCD of 169 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 44 = 3 remainder 37 |
| 2 | 44 ÷ 37 = 1 remainder 7 |
| 3 | 37 ÷ 7 = 5 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 75 | 3975 |
| 173 and 123 | 21279 |
| 94 and 136 | 6392 |
| 126 and 142 | 8946 |
| 122 and 191 | 23302 |