Least Common Multiple (LCM) of 169 and 143
The least common multiple (LCM) of 169 and 143 is 1859.
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 143?
First, calculate the GCD of 169 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 143 = 1 remainder 26 |
| 2 | 143 ÷ 26 = 5 remainder 13 |
| 3 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 71 | 4544 |
| 89 and 156 | 13884 |
| 127 and 119 | 15113 |
| 173 and 107 | 18511 |
| 110 and 119 | 13090 |