Least Common Multiple (LCM) of 179 and 172
The least common multiple (LCM) of 179 and 172 is 30788.
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 179 and 172?
First, calculate the GCD of 179 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 172 = 1 remainder 7 |
| 2 | 172 ÷ 7 = 24 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 15 | 45 |
| 132 and 129 | 5676 |
| 102 and 158 | 8058 |
| 12 and 40 | 120 |
| 183 and 160 | 29280 |