Least Common Multiple (LCM) of 44 and 169
The least common multiple (LCM) of 44 and 169 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 44 and 169?
First, calculate the GCD of 44 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 169 = 0 remainder 44 |
| 2 | 169 ÷ 44 = 3 remainder 37 |
| 3 | 44 ÷ 37 = 1 remainder 7 |
| 4 | 37 ÷ 7 = 5 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 16 | 688 |
| 120 and 142 | 8520 |
| 156 and 10 | 780 |
| 20 and 169 | 3380 |
| 159 and 97 | 15423 |