Least Common Multiple (LCM) of 169 and 160
The least common multiple (LCM) of 169 and 160 is 27040.
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 160?
First, calculate the GCD of 169 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 160 = 1 remainder 9 |
| 2 | 160 ÷ 9 = 17 remainder 7 |
| 3 | 9 ÷ 7 = 1 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 84 | 4200 |
| 128 and 123 | 15744 |
| 76 and 139 | 10564 |
| 89 and 170 | 15130 |
| 199 and 139 | 27661 |