Least Common Multiple (LCM) of 172 and 175
The least common multiple (LCM) of 172 and 175 is 30100.
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 175?
First, calculate the GCD of 172 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 175 = 0 remainder 172 |
| 2 | 175 ÷ 172 = 1 remainder 3 |
| 3 | 172 ÷ 3 = 57 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 160 | 5280 |
| 185 and 131 | 24235 |
| 101 and 64 | 6464 |
| 158 and 199 | 31442 |
| 72 and 112 | 1008 |