Least Common Multiple (LCM) of 12 and 172
The least common multiple (LCM) of 12 and 172 is 516.
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 12 and 172?
First, calculate the GCD of 12 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 172 = 0 remainder 12 |
| 2 | 172 ÷ 12 = 14 remainder 4 |
| 3 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 95 | 15390 |
| 46 and 83 | 3818 |
| 163 and 12 | 1956 |
| 149 and 81 | 12069 |
| 163 and 17 | 2771 |