Least Common Multiple (LCM) of 169 and 83
The least common multiple (LCM) of 169 and 83 is 14027.
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 83?
First, calculate the GCD of 169 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 83 = 2 remainder 3 |
| 2 | 83 ÷ 3 = 27 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 58 | 1334 |
| 145 and 156 | 22620 |
| 143 and 173 | 24739 |
| 74 and 78 | 2886 |
| 13 and 66 | 858 |