Least Common Multiple (LCM) of 171 and 172
The least common multiple (LCM) of 171 and 172 is 29412.
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 171 and 172?
First, calculate the GCD of 171 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 172 = 0 remainder 171 |
| 2 | 172 ÷ 171 = 1 remainder 1 |
| 3 | 171 ÷ 1 = 171 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 19 | 1064 |
| 123 and 70 | 8610 |
| 98 and 83 | 8134 |
| 189 and 130 | 24570 |
| 72 and 12 | 72 |