Least Common Multiple (LCM) of 184 and 172
The least common multiple (LCM) of 184 and 172 is 7912.
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 184 and 172?
First, calculate the GCD of 184 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 172 = 1 remainder 12 |
| 2 | 172 ÷ 12 = 14 remainder 4 |
| 3 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 131 | 13755 |
| 122 and 25 | 3050 |
| 120 and 162 | 3240 |
| 72 and 75 | 1800 |
| 83 and 51 | 4233 |