Least Common Multiple (LCM) of 169 and 177
The least common multiple (LCM) of 169 and 177 is 29913.
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 177?
First, calculate the GCD of 169 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 177 = 0 remainder 169 |
| 2 | 177 ÷ 169 = 1 remainder 8 |
| 3 | 169 ÷ 8 = 21 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 72 | 8136 |
| 115 and 101 | 11615 |
| 197 and 176 | 34672 |
| 184 and 19 | 3496 |
| 59 and 161 | 9499 |