Least Common Multiple (LCM) of 172 and 184
The least common multiple (LCM) of 172 and 184 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 172 and 184?
First, calculate the GCD of 172 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 184 = 0 remainder 172 |
| 2 | 184 ÷ 172 = 1 remainder 12 |
| 3 | 172 ÷ 12 = 14 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 140 | 420 |
| 145 and 33 | 4785 |
| 109 and 192 | 20928 |
| 63 and 31 | 1953 |
| 117 and 111 | 4329 |