Least Common Multiple (LCM) of 32 and 184
The least common multiple (LCM) of 32 and 184 is 736.
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 32 and 184?
First, calculate the GCD of 32 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 184 = 0 remainder 32 |
| 2 | 184 ÷ 32 = 5 remainder 24 |
| 3 | 32 ÷ 24 = 1 remainder 8 |
| 4 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 143 | 21164 |
| 90 and 95 | 1710 |
| 188 and 167 | 31396 |
| 169 and 114 | 19266 |
| 166 and 199 | 33034 |