Least Common Multiple (LCM) of 155 and 179
The least common multiple (LCM) of 155 and 179 is 27745.
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 155 and 179?
First, calculate the GCD of 155 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 179 = 0 remainder 155 |
| 2 | 179 ÷ 155 = 1 remainder 24 |
| 3 | 155 ÷ 24 = 6 remainder 11 |
| 4 | 24 ÷ 11 = 2 remainder 2 |
| 5 | 11 ÷ 2 = 5 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 80 | 1360 |
| 92 and 88 | 2024 |
| 114 and 130 | 7410 |
| 174 and 172 | 14964 |
| 179 and 101 | 18079 |