Least Common Multiple (LCM) of 173 and 179
The least common multiple (LCM) of 173 and 179 is 30967.
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 173 and 179?
First, calculate the GCD of 173 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 179 = 0 remainder 173 |
| 2 | 179 ÷ 173 = 1 remainder 6 |
| 3 | 173 ÷ 6 = 28 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 164 | 164 |
| 156 and 117 | 468 |
| 26 and 31 | 806 |
| 14 and 136 | 952 |
| 73 and 112 | 8176 |