Least Common Multiple (LCM) of 72 and 184
The least common multiple (LCM) of 72 and 184 is 1656.
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 72 and 184?
First, calculate the GCD of 72 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 184 = 0 remainder 72 |
| 2 | 184 ÷ 72 = 2 remainder 40 |
| 3 | 72 ÷ 40 = 1 remainder 32 |
| 4 | 40 ÷ 32 = 1 remainder 8 |
| 5 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 75 | 8025 |
| 109 and 185 | 20165 |
| 189 and 198 | 4158 |
| 106 and 182 | 9646 |
| 185 and 61 | 11285 |