Least Common Multiple (LCM) of 172 and 30
The least common multiple (LCM) of 172 and 30 is 2580.
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 30?
First, calculate the GCD of 172 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 30 = 5 remainder 22 |
| 2 | 30 ÷ 22 = 1 remainder 8 |
| 3 | 22 ÷ 8 = 2 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 25 | 4950 |
| 50 and 169 | 8450 |
| 170 and 29 | 4930 |
| 124 and 17 | 2108 |
| 115 and 159 | 18285 |