Least Common Multiple (LCM) of 169 and 179
The least common multiple (LCM) of 169 and 179 is 30251.
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 179?
First, calculate the GCD of 169 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 179 = 0 remainder 169 |
| 2 | 179 ÷ 169 = 1 remainder 10 |
| 3 | 169 ÷ 10 = 16 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 185 | 32930 |
| 23 and 41 | 943 |
| 42 and 20 | 420 |
| 128 and 157 | 20096 |
| 113 and 36 | 4068 |