Least Common Multiple (LCM) of 172 and 179
The least common multiple (LCM) of 172 and 179 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 172 and 179?
First, calculate the GCD of 172 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 179 = 0 remainder 172 |
| 2 | 179 ÷ 172 = 1 remainder 7 |
| 3 | 172 ÷ 7 = 24 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 157 | 20410 |
| 104 and 116 | 3016 |
| 85 and 99 | 8415 |
| 148 and 46 | 3404 |
| 167 and 179 | 29893 |